507648960 has 504 divisors, whose sum is σ = 2175357600. Its totient is φ = 106389504.

The previous prime is 507648949. The next prime is 507649007. The reversal of 507648960 is 69846705.

507648960 is a `hidden beast` number, since 507 + 6 + 4 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3406966 + ... + 3407114.

Almost surely, 2^507648960 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 507648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087678800).

507648960 is an abundant number, since it is smaller than the sum of its proper divisors (1667708640).

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

507648960 is a wasteful number, since it uses less digits than its factorization.

507648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 507648960 is about 22531.0665526513. The cubic root of 507648960 is about 797.7273834643.

The spelling of 507648960 in words is "five hundred seven million, six hundred forty-eight thousand, nine hundred sixty".