506232960 has 128 divisors (see below), whose sum is σ = 1698667200. Its totient is φ = 127881216.

The previous prime is 506232959. The next prime is 506232973. The reversal of 506232960 is 69232605.

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

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, 29542 + ... + 43418.

Almost surely, 2^506232960 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 506232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849333600).

506232960 is an abundant number, since it is smaller than the sum of its proper divisors (1192434240).

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

506232960 is a wasteful number, since it uses less digits than its factorization.

506232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13918 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 506232960 is about 22499.6213301469. The cubic root of 506232960 is about 796.9849847116.

The spelling of 506232960 in words is "five hundred six million, two hundred thirty-two thousand, nine hundred sixty".