508960 has 24 divisors (see below), whose sum is σ = 1202796. Its totient is φ = 203520.

The previous prime is 508957. The next prime is 508961. The reversal of 508960 is 69805.

508960 = T₁₆₉ + T₁₇₀ + ... + T₁₉₈.

508960 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 456976 + 51984 = 676^2 + 228^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (508961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1431 + ... + 1750.

2⁵⁰⁸⁹⁶⁰ is an apocalyptic number.

508960 is the 583-rd centered triangular number.

It is an amenable number.

508960 is an abundant number, since it is smaller than the sum of its proper divisors (693836).

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

508960 is a wasteful number, since it uses less digits than its factorization.

508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 508960 is about 713.4143256201. The cubic root of 508960 is about 79.8413522608.

The spelling of 508960 in words is "five hundred eight thousand, nine hundred sixty".