507408372 has 72 divisors (see below), whose sum is σ = 1329199872. Its totient is φ = 163036800.

The previous prime is 507408371. The next prime is 507408427. The reversal of 507408372 is 273804705.

507408372 is a `hidden beast` number, since 507 + 4 + 0 + 83 + 72 = 666.

It is a super-3 number, since 3×507408372³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507408371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341872 + ... + 343352.

Almost surely, 2^507408372 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 507408372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664599936).

507408372 is an abundant number, since it is smaller than the sum of its proper divisors (821791500).

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

507408372 is a wasteful number, since it uses less digits than its factorization.

507408372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 507408372 is about 22525.7268917121. The cubic root of 507408372 is about 797.6013423229.

The spelling of 507408372 in words is "five hundred seven million, four hundred eight thousand, three hundred seventy-two".