508962960 has 320 divisors, whose sum is σ = 1977016320. Its totient is φ = 119232000.

The previous prime is 508962959. The next prime is 508962973. The reversal of 508962960 is 69269805.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736215 + ... + 736905.

It is an arithmetic number, because the mean of its divisors is an integer number (6178176).

Almost surely, 2^508962960 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 508962960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988508160).

508962960 is an abundant number, since it is smaller than the sum of its proper divisors (1468053360).

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

508962960 is a wasteful number, since it uses less digits than its factorization.

508962960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 508962960 is about 22560.2074458547. The cubic root of 508962960 is about 798.4150704047.

The spelling of 508962960 in words is "five hundred eight million, nine hundred sixty-two thousand, nine hundred sixty".