509418960 has 80 divisors (see below), whose sum is σ = 1621908096. Its totient is φ = 132171264.

The previous prime is 509418953. The next prime is 509418967. The reversal of 509418960 is 69814905.

It is an interprime number because it is at equal distance from previous prime (509418953) and next prime (509418967).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509418967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19804 + ... + 37563.

Almost surely, 2^509418960 is an apocalyptic number.

It is an amenable number.

509418960 is an abundant number, since it is smaller than the sum of its proper divisors (1112489136).

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

509418960 is a wasteful number, since it uses less digits than its factorization.

509418960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57420 (or 57414 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 509418960 is about 22570.3114732606. The cubic root of 509418960 is about 798.6534430856.

The spelling of 509418960 in words is "five hundred nine million, four hundred eighteen thousand, nine hundred sixty".