507396960 has 720 divisors, whose sum is σ = 2252505024. Its totient is φ = 106831872.

The previous prime is 507396959. The next prime is 507396961. The reversal of 507396960 is 69693705.

It is an interprime number because it is at equal distance from previous prime (507396959) and next prime (507396961).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507396961) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10795657 + ... + 10795703.

Almost surely, 2^507396960 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 507396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126252512).

507396960 is an abundant number, since it is smaller than the sum of its proper divisors (1745108064).

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

507396960 is a wasteful number, since it uses less digits than its factorization.

507396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 507396960 is about 22525.4735799272. The cubic root of 507396960 is about 797.5953627246.

The spelling of 507396960 in words is "five hundred seven million, three hundred ninety-six thousand, nine hundred sixty".