506459560 has 32 divisors (see below), whose sum is σ = 1140179040. Its totient is φ = 202469184.

The previous prime is 506459533. The next prime is 506459579. The reversal of 506459560 is 65954605.

It is a super-3 number, since 3×506459560³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124519 + ... + 128521.

It is an arithmetic number, because the mean of its divisors is an integer number (35630595).

Almost surely, 2^506459560 is an apocalyptic number.

It is an amenable number.

506459560 is an abundant number, since it is smaller than the sum of its proper divisors (633719480).

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

506459560 is a wasteful number, since it uses less digits than its factorization.

506459560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The square root of 506459560 is about 22504.6564070639. The cubic root of 506459560 is about 797.1038824472.

The spelling of 506459560 in words is "five hundred six million, four hundred fifty-nine thousand, five hundred sixty".