508308864 has 128 divisors (see below), whose sum is σ = 1556275200. Its totient is φ = 143990784.

The previous prime is 508308797. The next prime is 508308883. The reversal of 508308864 is 468803805.

It is a tau number, because it is divible by the number of its divisors (128).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340632 + ... + 342120.

It is an arithmetic number, because the mean of its divisors is an integer number (12158400).

Almost surely, 2^508308864 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 508308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778137600).

508308864 is an abundant number, since it is smaller than the sum of its proper divisors (1047966336).

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

508308864 is a wasteful number, since it uses less digits than its factorization.

508308864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 508308864 is about 22545.7061100335. The cubic root of 508308864 is about 798.0728948932.

The spelling of 508308864 in words is "five hundred eight million, three hundred eight thousand, eight hundred sixty-four".