509921240 has 64 divisors (see below), whose sum is σ = 1220335200. Its totient is φ = 191213568.

The previous prime is 509921231. The next prime is 509921257. The reversal of 509921240 is 42129905.

It is a junction number, because it is equal to n+sod(n) for n = 509921197 and 509921206.

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, 70262 + ... + 77178.

Almost surely, 2^509921240 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 509921240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610167600).

509921240 is an abundant number, since it is smaller than the sum of its proper divisors (710413960).

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

509921240 is a wasteful number, since it uses less digits than its factorization.

509921240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 509921240 is about 22581.4357382342. The cubic root of 509921240 is about 798.9158439207.

The spelling of 509921240 in words is "five hundred nine million, nine hundred twenty-one thousand, two hundred forty".