509240880 has 60 divisors (see below), whose sum is σ = 1710203040. Its totient is φ = 135797376.

The previous prime is 509240867. The next prime is 509240903. The reversal of 509240880 is 88042905.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352920 + ... + 354359.

It is an arithmetic number, because the mean of its divisors is an integer number (28503384).

Almost surely, 2^509240880 is an apocalyptic number.

It is an amenable number.

509240880 is an abundant number, since it is smaller than the sum of its proper divisors (1200962160).

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

509240880 is a wasteful number, since it uses less digits than its factorization.

509240880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707298 (or 707289 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 509240880 is about 22566.3661230602. The cubic root of 509240880 is about 798.5603692163.

The spelling of 509240880 in words is "five hundred nine million, two hundred forty thousand, eight hundred eighty".