507393120 has 384 divisors, whose sum is σ = 1847881728. Its totient is φ = 116121600.

The previous prime is 507393031. The next prime is 507393167. The reversal of 507393120 is 21393705.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8317890 + ... + 8317950.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2^507393120 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 507393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923940864).

507393120 is an abundant number, since it is smaller than the sum of its proper divisors (1340488608).

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

507393120 is a wasteful number, since it uses less digits than its factorization.

507393120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 507393120 is about 22525.3883429343. The cubic root of 507393120 is about 797.5933506419.

The spelling of 507393120 in words is "five hundred seven million, three hundred ninety-three thousand, one hundred twenty".