507045168 has 120 divisors (see below), whose sum is σ = 1626327456. Its totient is φ = 144460800.

The previous prime is 507045163. The next prime is 507045169. The reversal of 507045168 is 861540705.

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 (507045163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665908 + ... + 666668.

Almost surely, 2^507045168 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 507045168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813163728).

507045168 is an abundant number, since it is smaller than the sum of its proper divisors (1119282288).

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

507045168 is a wasteful number, since it uses less digits than its factorization.

507045168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 507045168 is about 22517.6634667099. The cubic root of 507045168 is about 797.4109886472.

The spelling of 507045168 in words is "five hundred seven million, forty-five thousand, one hundred sixty-eight".