507516672 has 72 divisors (see below), whose sum is σ = 1454665744. Its totient is φ = 156155904.

The previous prime is 507516671. The next prime is 507516721. The reversal of 507516672 is 276615705.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 507516672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507516671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15433 + ... + 35400.

Almost surely, 2^507516672 is an apocalyptic number.

507516672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

507516672 is an abundant number, since it is smaller than the sum of its proper divisors (947149072).

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

507516672 is a wasteful number, since it uses less digits than its factorization.

507516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50865 (or 50851 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 507516672 is about 22528.1306814392. The cubic root of 507516672 is about 797.6580843118.

The spelling of 507516672 in words is "five hundred seven million, five hundred sixteen thousand, six hundred seventy-two".