507684864 has 96 divisors (see below), whose sum is σ = 1425060000. Its totient is φ = 160284672.

The previous prime is 507684857. The next prime is 507684887. The reversal of 507684864 is 468486705.

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

It is a super-2 number, since 2×507684864² = 515487842269396992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 114562 + ... + 118910.

It is an arithmetic number, because the mean of its divisors is an integer number (14844375).

Almost surely, 2^507684864 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 507684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712530000).

507684864 is an abundant number, since it is smaller than the sum of its proper divisors (917375136).

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

507684864 is a wasteful number, since it uses less digits than its factorization.

507684864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 507684864 is about 22531.8633051064. The cubic root of 507684864 is about 797.7461897202.

The spelling of 507684864 in words is "five hundred seven million, six hundred eighty-four thousand, eight hundred sixty-four".