507064320 has 416 divisors, whose sum is σ = 2075927040. Its totient is φ = 115015680.

The previous prime is 507064319. The next prime is 507064331. The reversal of 507064320 is 23460705.

It is a happy number.

It is a super-3 number, since 3×507064320³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870655 + ... + 3870785.

Almost surely, 2^507064320 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 507064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037963520).

507064320 is an abundant number, since it is smaller than the sum of its proper divisors (1568862720).

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

507064320 is a wasteful number, since it uses less digits than its factorization.

507064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 507064320 is about 22518.0887288420. The cubic root of 507064320 is about 797.4210283990.

The spelling of 507064320 in words is "five hundred seven million, sixty-four thousand, three hundred twenty".