507132648 has 192 divisors, whose sum is σ = 1603929600. Its totient is φ = 143130240.

The previous prime is 507132641. The next prime is 507132707. The reversal of 507132648 is 846231705.

507132648 is a `hidden beast` number, since 5 + 0 + 7 + 1 + 3 + 2 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (507132641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007965 + ... + 1008467.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^507132648 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 507132648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

507132648 is an abundant number, since it is smaller than the sum of its proper divisors (1096796952).

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

507132648 is a wasteful number, since it uses less digits than its factorization.

507132648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 507132648 is about 22519.6058580074. The cubic root of 507132648 is about 797.4568448525.

It can be divided in two parts, 50713 and 2648, that added together give a square (53361 = 231²).

The spelling of 507132648 in words is "five hundred seven million, one hundred thirty-two thousand, six hundred forty-eight".