507972060 has 144 divisors (see below), whose sum is σ = 1612455936. Its totient is φ = 134229312.

The previous prime is 507972013. The next prime is 507972061. The reversal of 507972060 is 60279705.

507972060 is a `hidden beast` number, since 507 + 97 + 2 + 0 + 60 = 666.

It is a super-2 number, since 2×507972060² = 516071227481287200, which contains 22 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 (507972061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616809 + ... + 617631.

Almost surely, 2^507972060 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 507972060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806227968).

507972060 is an abundant number, since it is smaller than the sum of its proper divisors (1104483876).

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

507972060 is a wasteful number, since it uses less digits than its factorization.

507972060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 507972060 is about 22538.2355121247. The cubic root of 507972060 is about 797.8965890081.

The spelling of 507972060 in words is "five hundred seven million, nine hundred seventy-two thousand, sixty".