509617920 has 144 divisors (see below), whose sum is σ = 1860203520. Its totient is φ = 116477952.

The previous prime is 509617919. The next prime is 509617931. The reversal of 509617920 is 29716905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17401 + ... + 36359.

It is an arithmetic number, because the mean of its divisors is an integer number (12918080).

Almost surely, 2^509617920 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 509617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930101760).

509617920 is an abundant number, since it is smaller than the sum of its proper divisors (1350585600).

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

509617920 is a wasteful number, since it uses less digits than its factorization.

509617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18990 (or 18976 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 509617920 is about 22574.7186028974. The cubic root of 509617920 is about 798.7574042775.

The spelling of 509617920 in words is "five hundred nine million, six hundred seventeen thousand, nine hundred twenty".