507683904 has 224 divisors, whose sum is σ = 1689811200. Its totient is φ = 133668864.

The previous prime is 507683893. The next prime is 507683909. The reversal of 507683904 is 409386705.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (507683909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 855832 + ... + 856424.

It is an arithmetic number, because the mean of its divisors is an integer number (7543800).

Almost surely, 2^507683904 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 507683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844905600).

507683904 is an abundant number, since it is smaller than the sum of its proper divisors (1182127296).

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

507683904 is a wasteful number, since it uses less digits than its factorization.

507683904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 507683904 is about 22531.8420019314. The cubic root of 507683904 is about 797.7456868906.

The spelling of 507683904 in words is "five hundred seven million, six hundred eighty-three thousand, nine hundred four".