508140864 has 560 divisors, whose sum is σ = 2006315520. Its totient is φ = 123171840.

The previous prime is 508140851. The next prime is 508140881. The reversal of 508140864 is 468041805.

508140864 is a `hidden beast` number, since 508 + 140 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 7584159 + ... + 7584225.

Almost surely, 2^508140864 is an apocalyptic number.

508140864 is a gapful number since it is divisible by the number (54) 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 508140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003157760).

508140864 is an abundant number, since it is smaller than the sum of its proper divisors (1498174656).

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

508140864 is a wasteful number, since it uses less digits than its factorization.

508140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 508140864 is about 22541.9800372549. The cubic root of 508140864 is about 797.9849621226.

The spelling of 508140864 in words is "five hundred eight million, one hundred forty thousand, eight hundred sixty-four".