509377920 has 128 divisors (see below), whose sum is σ = 1630368000. Its totient is φ = 135272448.

The previous prime is 509377901. The next prime is 509377931. The reversal of 509377920 is 29773905.

It is a tau number, because it is divible by the number of its divisors (128).

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, 688911 + ... + 689649.

It is an arithmetic number, because the mean of its divisors is an integer number (12737250).

Almost surely, 2^509377920 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 509377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815184000).

509377920 is an abundant number, since it is smaller than the sum of its proper divisors (1120990080).

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

509377920 is a wasteful number, since it uses less digits than its factorization.

509377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 509377920 is about 22569.4022960290. The cubic root of 509377920 is about 798.6319953709.

The spelling of 509377920 in words is "five hundred nine million, three hundred seventy-seven thousand, nine hundred twenty".