507180960 has 384 divisors, whose sum is σ = 2088011520. Its totient is φ = 113356800.

The previous prime is 507180959. The next prime is 507180967. The reversal of 507180960 is 69081705.

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 (507180967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617350 + ... + 618170.

It is an arithmetic number, because the mean of its divisors is an integer number (5437530).

Almost surely, 2^507180960 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 507180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044005760).

507180960 is an abundant number, since it is smaller than the sum of its proper divisors (1580830560).

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

507180960 is a wasteful number, since it uses less digits than its factorization.

507180960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 507180960 is about 22520.6784977718. The cubic root of 507180960 is about 797.4821672948.

The spelling of 507180960 in words is "five hundred seven million, one hundred eighty thousand, nine hundred sixty".