507965856 has 96 divisors (see below), whose sum is σ = 1439544960. Its totient is φ = 156355584.

The previous prime is 507965839. The next prime is 507965873. The reversal of 507965856 is 658569705.

It is an interprime number because it is at equal distance from previous prime (507965839) and next prime (507965873).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 507965799 and 507965808.

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, 60066 + ... + 67998.

It is an arithmetic number, because the mean of its divisors is an integer number (14995260).

Almost surely, 2^507965856 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 507965856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719772480).

507965856 is an abundant number, since it is smaller than the sum of its proper divisors (931579104).

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

507965856 is a wasteful number, since it uses less digits than its factorization.

507965856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 51.

The square root of 507965856 is about 22538.0978789249. The cubic root of 507965856 is about 797.8933406860.

The spelling of 507965856 in words is "five hundred seven million, nine hundred sixty-five thousand, eight hundred fifty-six".