507631488 has 256 divisors, whose sum is σ = 1690752000. Its totient is φ = 131383296.

The previous prime is 507631477. The next prime is 507631507. The reversal of 507631488 is 884136705.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2550813 + ... + 2551011.

It is an arithmetic number, because the mean of its divisors is an integer number (6604500).

Almost surely, 2^507631488 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 507631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845376000).

507631488 is an abundant number, since it is smaller than the sum of its proper divisors (1183120512).

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

507631488 is a wasteful number, since it uses less digits than its factorization.

507631488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 507631488 is about 22530.6788180028. The cubic root of 507631488 is about 797.7182314361.

The spelling of 507631488 in words is "five hundred seven million, six hundred thirty-one thousand, four hundred eighty-eight".