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474780 = 223541193
BaseRepresentation
bin1110011111010011100
3220010021110
41303322130
5110143110
614102020
74015125
oct1637234
9803243
10474780
112a4789
121aa910
13138147
14c504c
1595a20
hex73e9c

474780 has 48 divisors (see below), whose sum is σ = 1368864. Its totient is φ = 122880.

The previous prime is 474779. The next prime is 474787. The reversal of 474780 is 87474.

474780 = 432 + 442 + ... + 1142.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2364 + ... + 2556.

It is an arithmetic number, because the mean of its divisors is an integer number (28518).

2474780 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 474780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684432).

474780 is an abundant number, since it is smaller than the sum of its proper divisors (894084).

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

474780 is a wasteful number, since it uses less digits than its factorization.

474780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 474780 is about 689.0428143447. The cubic root of 474780 is about 78.0124897817.

The spelling of 474780 in words is "four hundred seventy-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 193 205 246 386 410 492 579 615 772 820 965 1158 1230 1930 2316 2460 2895 3860 5790 7913 11580 15826 23739 31652 39565 47478 79130 94956 118695 158260 237390 474780