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468297780 = 223531793187
BaseRepresentation
bin11011111010011…
…010100000110100
31012122011222210020
4123322122200310
51424341012110
6114245125140
714414315436
oct3372324064
91178158706
10468297780
11220384065
121109b97b0
13760353a2
14462a2656
152b1a4d70
hex1be9a834

468297780 has 96 divisors (see below), whose sum is σ = 1371095040. Its totient is φ = 119283840.

The previous prime is 468297763. The next prime is 468297787. The reversal of 468297780 is 87792864.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468297787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145347 + ... + 148533.

It is an arithmetic number, because the mean of its divisors is an integer number (14282240).

Almost surely, 2468297780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468297780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685547520).

468297780 is an abundant number, since it is smaller than the sum of its proper divisors (902797260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468297780 is a wasteful number, since it uses less digits than its factorization.

468297780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 468297780 is about 21640.1890010231. The cubic root of 468297780 is about 776.5582411919.

The spelling of 468297780 in words is "four hundred sixty-eight million, two hundred ninety-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 79 93 124 155 158 186 237 310 316 372 395 465 474 620 790 930 948 1185 1580 1860 2370 2449 3187 4740 4898 6374 7347 9561 9796 12245 12748 14694 15935 19122 24490 29388 31870 36735 38244 47805 48980 63740 73470 95610 98797 146940 191220 197594 251773 296391 395188 493985 503546 592782 755319 987970 1007092 1185564 1258865 1481955 1510638 1975940 2517730 2963910 3021276 3776595 5035460 5927820 7553190 7804963 15106380 15609926 23414889 31219852 39024815 46829778 78049630 93659556 117074445 156099260 234148890 468297780