507684672 has 280 divisors, whose sum is σ = 1703892960. Its totient is φ = 148055040.

The previous prime is 507684637. The next prime is 507684677. The reversal of 507684672 is 276486705.

507684672 is a `hidden beast` number, since 507 + 6 + 84 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507684677) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1653543 + ... + 1653849.

It is an arithmetic number, because the mean of its divisors is an integer number (6085332).

Almost surely, 2^507684672 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 507684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851946480).

507684672 is an abundant number, since it is smaller than the sum of its proper divisors (1196208288).

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

507684672 is a wasteful number, since it uses less digits than its factorization.

507684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 507684672 is about 22531.8590444730. The cubic root of 507684672 is about 797.7460891543.

The spelling of 507684672 in words is "five hundred seven million, six hundred eighty-four thousand, six hundred seventy-two".