476096832 has 224 divisors, whose sum is σ = 1561795200. Its totient is φ = 141336576.

The previous prime is 476096807. The next prime is 476096833. The reversal of 476096832 is 238690674.

476096832 is a `hidden beast` number, since 4 + 7 + 609 + 6 + 8 + 32 = 666.

It is a super-3 number, since 3×476096832³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476096833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557718 + ... + 558570.

It is an arithmetic number, because the mean of its divisors is an integer number (6972300).

Almost surely, 2^476096832 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 476096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780897600).

476096832 is an abundant number, since it is smaller than the sum of its proper divisors (1085698368).

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

476096832 is a wasteful number, since it uses less digits than its factorization.

476096832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 476096832 is about 21819.6432601452. The cubic root of 476096832 is about 780.8454737580.

The spelling of 476096832 in words is "four hundred seventy-six million, ninety-six thousand, eight hundred thirty-two".