507583872 has 96 divisors (see below), whose sum is σ = 1524210480. Its totient is φ = 161829888.

The previous prime is 507583861. The next prime is 507583873. The reversal of 507583872 is 278385705.

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

It is a super-2 number, since 2×507583872² = 515282774229024768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507583873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16918 + ... + 36074.

Almost surely, 2^507583872 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 507583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762105240).

507583872 is an abundant number, since it is smaller than the sum of its proper divisors (1016626608).

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

507583872 is a wasteful number, since it uses less digits than its factorization.

507583872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19200 (or 19185 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 507583872 is about 22529.6221006922. The cubic root of 507583872 is about 797.6932885790.

The spelling of 507583872 in words is "five hundred seven million, five hundred eighty-three thousand, eight hundred seventy-two".