507168480 has 384 divisors, whose sum is σ = 2084963328. Its totient is φ = 100564992.

The previous prime is 507168451. The next prime is 507168491. The reversal of 507168480 is 84861705.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742219 + ... + 742901.

It is an arithmetic number, because the mean of its divisors is an integer number (5429592).

Almost surely, 2^507168480 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 507168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042481664).

507168480 is an abundant number, since it is smaller than the sum of its proper divisors (1577794848).

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

507168480 is a wasteful number, since it uses less digits than its factorization.

507168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 507168480 is about 22520.4014173815. The cubic root of 507168480 is about 797.4756261324.

The spelling of 507168480 in words is "five hundred seven million, one hundred sixty-eight thousand, four hundred eighty".