480664584 has 128 divisors (see below), whose sum is σ = 1415664000. Its totient is φ = 150688512.

The previous prime is 480664573. The next prime is 480664609. The reversal of 480664584 is 485466084.

480664584 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 64 + 584 = 666.

It is a super-3 number, since 3×480664584³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709654 + ... + 710330.

It is an arithmetic number, because the mean of its divisors is an integer number (11059875).

Almost surely, 2^480664584 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 480664584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707832000).

480664584 is an abundant number, since it is smaller than the sum of its proper divisors (934999416).

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

480664584 is a wasteful number, since it uses less digits than its factorization.

480664584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 480664584 is about 21924.0640393153. The cubic root of 480664584 is about 783.3347169233.

It can be divided in two parts, 48066 and 4584, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 480664584 in words is "four hundred eighty million, six hundred sixty-four thousand, five hundred eighty-four".