480736576 has 28 divisors (see below), whose sum is σ = 956755008. Its totient is φ = 239664512.

The previous prime is 480736511. The next prime is 480736579. The reversal of 480736576 is 675637084.

It is a super-3 number, since 3×480736576³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480736579) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11385 + ... + 33031.

Almost surely, 2^480736576 is an apocalyptic number.

It is an amenable number.

480736576 is a deficient number, since it is larger than the sum of its proper divisors (476018432).

480736576 is a wasteful number, since it uses less digits than its factorization.

480736576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22006 (or 21996 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The square root of 480736576 is about 21925.7058267231. The cubic root of 480736576 is about 783.3738232076.

The spelling of 480736576 in words is "four hundred eighty million, seven hundred thirty-six thousand, five hundred seventy-six".