507693312 has 216 divisors, whose sum is σ = 1747620000. Its totient is φ = 144958464.

The previous prime is 507693269. The next prime is 507693323. The reversal of 507693312 is 213396705.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 337939 + ... + 339437.

Almost surely, 2^507693312 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 507693312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873810000).

507693312 is an abundant number, since it is smaller than the sum of its proper divisors (1239926688).

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

507693312 is a wasteful number, since it uses less digits than its factorization.

507693312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 507693312 is about 22532.0507721778. The cubic root of 507693312 is about 797.7506145927.

The spelling of 507693312 in words is "five hundred seven million, six hundred ninety-three thousand, three hundred twelve".