509907960 has 160 divisors (see below), whose sum is σ = 1722623760. Its totient is φ = 135281664.

The previous prime is 509907943. The next prime is 509907961. The reversal of 509907960 is 69709905.

It is a super-2 number, since 2×509907960² = 520012255342723200, which contains 22 as substring.

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 (509907961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1091647 + ... + 1092113.

Almost surely, 2^509907960 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 509907960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861311880).

509907960 is an abundant number, since it is smaller than the sum of its proper divisors (1212715800).

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

509907960 is a wasteful number, since it uses less digits than its factorization.

509907960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 509907960 is about 22581.1416894718. The cubic root of 509907960 is about 798.9089084088.

The spelling of 509907960 in words is "five hundred nine million, nine hundred seven thousand, nine hundred sixty".