507012480 has 512 divisors, whose sum is σ = 2018620800. Its totient is φ = 119439360.

The previous prime is 507012463. The next prime is 507012487. The reversal of 507012480 is 84210705.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507012487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8311650 + ... + 8311710.

Almost surely, 2^507012480 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 507012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009310400).

507012480 is an abundant number, since it is smaller than the sum of its proper divisors (1511608320).

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

507012480 is a wasteful number, since it uses less digits than its factorization.

507012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 507012480 is about 22516.9376248192. The cubic root of 507012480 is about 797.3938525469.

The spelling of 507012480 in words is "five hundred seven million, twelve thousand, four hundred eighty".