477852432 has 80 divisors (see below), whose sum is σ = 1312296960. Its totient is φ = 149406336.

The previous prime is 477852409. The next prime is 477852437. The reversal of 477852432 is 234258774.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (477852437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91393 + ... + 96479.

It is an arithmetic number, because the mean of its divisors is an integer number (16403712).

Almost surely, 2^477852432 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 477852432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656148480).

477852432 is an abundant number, since it is smaller than the sum of its proper divisors (834444528).

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

477852432 is a wasteful number, since it uses less digits than its factorization.

477852432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5214 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The square root of 477852432 is about 21859.8360469606. The cubic root of 477852432 is about 781.8040818015.

The spelling of 477852432 in words is "four hundred seventy-seven million, eight hundred fifty-two thousand, four hundred thirty-two".