475764160 has 56 divisors (see below), whose sum is σ = 1137330720. Its totient is φ = 189563904.

The previous prime is 475764143. The next prime is 475764187. The reversal of 475764160 is 61467574.

It is a super-3 number, since 3×475764160³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83317 + ... + 88843.

Almost surely, 2^475764160 is an apocalyptic number.

475764160 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 475764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568665360).

475764160 is an abundant number, since it is smaller than the sum of its proper divisors (661566560).

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

475764160 is a wasteful number, since it uses less digits than its factorization.

475764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5813 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 475764160 is about 21812.0187052918. The cubic root of 475764160 is about 780.6635598173.

The spelling of 475764160 in words is "four hundred seventy-five million, seven hundred sixty-four thousand, one hundred sixty".