509924532 has 48 divisors (see below), whose sum is σ = 1283219840. Its totient is φ = 156670848.

The previous prime is 509924531. The next prime is 509924543. The reversal of 509924532 is 235429905.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509924531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127353 + ... + 131295.

Almost surely, 2^509924532 is an apocalyptic number.

509924532 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

509924532 is an abundant number, since it is smaller than the sum of its proper divisors (773295308).

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

509924532 is a wasteful number, since it uses less digits than its factorization.

509924532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 509924532 is about 22581.5086298502. The cubic root of 509924532 is about 798.9175631570.

The spelling of 509924532 in words is "five hundred nine million, nine hundred twenty-four thousand, five hundred thirty-two".