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464380 = 225731107
BaseRepresentation
bin1110001010111111100
3212121000021
41301113330
5104330010
613541524
73642610
oct1612774
9777007
10464380
11297994
121a48a4
131334a7
14c1340
15928da
hex715fc

464380 has 48 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 152640.

The previous prime is 464371. The next prime is 464381. The reversal of 464380 is 83464.

464380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464381) by changing a digit.

464380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4287 + ... + 4393.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2464380 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 464380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608).

464380 is an abundant number, since it is smaller than the sum of its proper divisors (696836).

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

464380 is a wasteful number, since it uses less digits than its factorization.

464380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 464380 is about 681.4543271563. The cubic root of 464380 is about 77.4386611424.

The spelling of 464380 in words is "four hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 107 124 140 155 214 217 310 428 434 535 620 749 868 1070 1085 1498 2140 2170 2996 3317 3745 4340 6634 7490 13268 14980 16585 23219 33170 46438 66340 92876 116095 232190 464380