474716160 has 384 divisors, whose sum is σ = 1804420800. Its totient is φ = 117964800.

The previous prime is 474716141. The next prime is 474716171. The reversal of 474716160 is 61617474.

474716160 is a `hidden beast` number, since 474 + 71 + 61 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4700110 + ... + 4700210.

Almost surely, 2^474716160 is an apocalyptic number.

474716160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902210400).

474716160 is an abundant number, since it is smaller than the sum of its proper divisors (1329704640).

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

474716160 is a wasteful number, since it uses less digits than its factorization.

474716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 474716160 is about 21787.9820084376. The cubic root of 474716160 is about 780.0899304594.

The spelling of 474716160 in words is "four hundred seventy-four million, seven hundred sixteen thousand, one hundred sixty".