507280320 has 140 divisors (see below), whose sum is σ = 1804577544. Its totient is φ = 135267840.

The previous prime is 507280309. The next prime is 507280337. The reversal of 507280320 is 23082705.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16135 + ... + 35705.

Almost surely, 2^507280320 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 507280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902288772).

507280320 is an abundant number, since it is smaller than the sum of its proper divisors (1297297224).

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

507280320 is a wasteful number, since it uses less digits than its factorization.

507280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19600 (or 19581 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 507280320 is about 22522.8843623547. The cubic root of 507280320 is about 797.5342411833.

The spelling of 507280320 in words is "five hundred seven million, two hundred eighty thousand, three hundred twenty".