507712816 has 60 divisors (see below), whose sum is σ = 1089378192. Its totient is φ = 227867904.

The previous prime is 507712789. The next prime is 507712817. The reversal of 507712816 is 618217705.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (507712817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283861 + ... + 285643.

Almost surely, 2^507712816 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 507712816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544689096).

507712816 is an abundant number, since it is smaller than the sum of its proper divisors (581665376).

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

507712816 is a wasteful number, since it uses less digits than its factorization.

507712816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 507712816 is about 22532.4835737209. The cubic root of 507712816 is about 797.7608301621.

The spelling of 507712816 in words is "five hundred seven million, seven hundred twelve thousand, eight hundred sixteen".