474105632 has 288 divisors, whose sum is σ = 1354921344. Its totient is φ = 157593600.

The previous prime is 474105587. The next prime is 474105641. The reversal of 474105632 is 236501474.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11563532 + ... + 11563572.

It is an arithmetic number, because the mean of its divisors is an integer number (4704588).

Almost surely, 2^474105632 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 474105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677460672).

474105632 is an abundant number, since it is smaller than the sum of its proper divisors (880815712).

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

474105632 is a wasteful number, since it uses less digits than its factorization.

474105632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 474105632 is about 21773.9668411615. The cubic root of 474105632 is about 779.7553648774.

The spelling of 474105632 in words is "four hundred seventy-four million, one hundred five thousand, six hundred thirty-two".