480076032 has 72 divisors (see below), whose sum is σ = 1295356384. Its totient is φ = 157814784.

The previous prime is 480075923. The next prime is 480076049. The reversal of 480076032 is 230670084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51783 + ... + 60345.

Almost surely, 2^480076032 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 480076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647678192).

480076032 is an abundant number, since it is smaller than the sum of its proper divisors (815280352).

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

480076032 is an equidigital number, since it uses as much as digits as its factorization.

480076032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8655 (or 8641 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 480076032 is about 21910.6374165609. The cubic root of 480076032 is about 783.0148670535.

The spelling of 480076032 in words is "four hundred eighty million, seventy-six thousand, thirty-two".