507540120 has 64 divisors (see below), whose sum is σ = 1525720320. Its totient is φ = 135068544.

The previous prime is 507540119. The next prime is 507540127. The reversal of 507540120 is 21045705.

It is a super-2 number, since 2×507540120² = 515193946819228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507540127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58717 + ... + 66803.

It is an arithmetic number, because the mean of its divisors is an integer number (23839380).

Almost surely, 2^507540120 is an apocalyptic number.

It is an amenable number.

507540120 is an abundant number, since it is smaller than the sum of its proper divisors (1018180200).

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

507540120 is a wasteful number, since it uses less digits than its factorization.

507540120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8624 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 507540120 is about 22528.6510914435. The cubic root of 507540120 is about 797.6703684394.

Adding to 507540120 its reverse (21045705), we get a palindrome (528585825).

The spelling of 507540120 in words is "five hundred seven million, five hundred forty thousand, one hundred twenty".