507006720 has 216 divisors, whose sum is σ = 1914140592. Its totient is φ = 122880000.

The previous prime is 507006707. The next prime is 507006743. The reversal of 507006720 is 27600705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124720 + ... + 128720.

It is an arithmetic number, because the mean of its divisors is an integer number (8861762).

Almost surely, 2^507006720 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 507006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957070296).

507006720 is an abundant number, since it is smaller than the sum of its proper divisors (1407133872).

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

507006720 is a wasteful number, since it uses less digits than its factorization.

507006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 507006720 is about 22516.8097207397. The cubic root of 507006720 is about 797.3908328934.

The spelling of 507006720 in words is "five hundred seven million, six thousand, seven hundred twenty".