507884832 has 144 divisors (see below), whose sum is σ = 1777688640. Its totient is φ = 133940736.

The previous prime is 507884831. The next prime is 507884837. The reversal of 507884832 is 238488705.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (507884831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16519 + ... + 35897.

It is an arithmetic number, because the mean of its divisors is an integer number (12345060).

Almost surely, 2^507884832 is an apocalyptic number.

507884832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507884832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888844320).

507884832 is an abundant number, since it is smaller than the sum of its proper divisors (1269803808).

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

507884832 is a wasteful number, since it uses less digits than its factorization.

507884832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19415 (or 19404 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 507884832 is about 22536.3003174878. The cubic root of 507884832 is about 797.8509152966.

The spelling of 507884832 in words is "five hundred seven million, eight hundred eighty-four thousand, eight hundred thirty-two".