508032480 has 96 divisors (see below), whose sum is σ = 1627516800. Its totient is φ = 133171712.

The previous prime is 508032479. The next prime is 508032521. The reversal of 508032480 is 84230805.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19351 + ... + 37289.

It is an arithmetic number, because the mean of its divisors is an integer number (16953300).

Almost surely, 2^508032480 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 508032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813758400).

508032480 is an abundant number, since it is smaller than the sum of its proper divisors (1119484320).

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

508032480 is a wasteful number, since it uses less digits than its factorization.

508032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18016 (or 18008 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 508032480 is about 22539.5758611381. The cubic root of 508032480 is about 797.9282226381.

The spelling of 508032480 in words is "five hundred eight million, thirty-two thousand, four hundred eighty".