475582464 has 312 divisors, whose sum is σ = 1669653440. Its totient is φ = 127401984.

The previous prime is 475582403. The next prime is 475582469. The reversal of 475582464 is 464285574.

475582464 is a `hidden beast` number, since 4 + 7 + 5 + 582 + 4 + 64 = 666.

It is a super-2 number, since 2×475582464² = 452357360128622592, which contains 22 as substring.

Its product of digits (1075200) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475582469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4902864 + ... + 4902960.

Almost surely, 2^475582464 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 475582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834826720).

475582464 is an abundant number, since it is smaller than the sum of its proper divisors (1194070976).

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

475582464 is a wasteful number, since it uses less digits than its factorization.

475582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 475582464 is about 21807.8532643633. The cubic root of 475582464 is about 780.5641677804.

The spelling of 475582464 in words is "four hundred seventy-five million, five hundred eighty-two thousand, four hundred sixty-four".