477792432 has 280 divisors, whose sum is σ = 1571086944. Its totient is φ = 139594752.

The previous prime is 477792401. The next prime is 477792437. The reversal of 477792432 is 234297774.

It is not an unprimeable number, because it can be changed into a prime (477792437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3487468 + ... + 3487604.

Almost surely, 2^477792432 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 477792432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785543472).

477792432 is an abundant number, since it is smaller than the sum of its proper divisors (1093294512).

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

477792432 is a wasteful number, since it uses less digits than its factorization.

477792432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 477792432 is about 21858.4636239604. The cubic root of 477792432 is about 781.7713588623.

The spelling of 477792432 in words is "four hundred seventy-seven million, seven hundred ninety-two thousand, four hundred thirty-two".