477634432 has 48 divisors (see below), whose sum is σ = 1045938600. Its totient is φ = 217099520.

The previous prime is 477634429. The next prime is 477634433. The reversal of 477634432 is 234436774.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477634433) 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 5 ways as a sum of consecutive naturals, for example, 69 + ... + 30907.

Almost surely, 2^477634432 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 477634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522969300).

477634432 is an abundant number, since it is smaller than the sum of its proper divisors (568304168).

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

477634432 is a wasteful number, since it uses less digits than its factorization.

477634432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30875 (or 30852 counting only the distinct ones).

The product of its digits is 338688, while the sum is 40.

The square root of 477634432 is about 21854.8491644303. The cubic root of 477634432 is about 781.6851753480.

The spelling of 477634432 in words is "four hundred seventy-seven million, six hundred thirty-four thousand, four hundred thirty-two".