480376624 has 120 divisors (see below), whose sum is σ = 1182195168. Its totient is φ = 184135680.

The previous prime is 480376609. The next prime is 480376627. The reversal of 480376624 is 426673084.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (480376627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1993144 + ... + 1993384.

Almost surely, 2^480376624 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 480376624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591097584).

480376624 is an abundant number, since it is smaller than the sum of its proper divisors (701818544).

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

480376624 is a wasteful number, since it uses less digits than its factorization.

480376624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 480376624 is about 21917.4958423630. The cubic root of 480376624 is about 783.1782570739.

The spelling of 480376624 in words is "four hundred eighty million, three hundred seventy-six thousand, six hundred twenty-four".