507838680 has 128 divisors (see below), whose sum is σ = 1698278400. Its totient is φ = 134985600.

The previous prime is 507838679. The next prime is 507838693. The reversal of 507838680 is 86838705.

507838680 is a `hidden beast` number, since 507 + 83 + 8 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464935 + ... + 466025.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2^507838680 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 507838680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

507838680 is an abundant number, since it is smaller than the sum of its proper divisors (1190439720).

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

507838680 is a wasteful number, since it uses less digits than its factorization.

507838680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 507838680 is about 22535.2763462088. The cubic root of 507838680 is about 797.8267473957.

The spelling of 507838680 in words is "five hundred seven million, eight hundred thirty-eight thousand, six hundred eighty".