507868704 has 240 divisors, whose sum is σ = 1782684288. Its totient is φ = 138682368.

The previous prime is 507868679. The next prime is 507868721. The reversal of 507868704 is 407868705.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 507868704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 416704 + ... + 417920.

Almost surely, 2^507868704 is an apocalyptic number.

507868704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507868704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891342144).

507868704 is an abundant number, since it is smaller than the sum of its proper divisors (1274815584).

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

507868704 is a wasteful number, since it uses less digits than its factorization.

507868704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 507868704 is about 22535.9424919394. The cubic root of 507868704 is about 797.8424698940.

Subtracting from 507868704 its reverse (407868705), we obtain a palindrome (99999999).

The spelling of 507868704 in words is "five hundred seven million, eight hundred sixty-eight thousand, seven hundred four".