509506432 has 64 divisors (see below), whose sum is σ = 1073203200. Its totient is φ = 240274944.

The previous prime is 509506411. The next prime is 509506453. The reversal of 509506432 is 234605905.

It is an interprime number because it is at equal distance from previous prime (509506411) and next prime (509506453).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931183 + ... + 931729.

It is an arithmetic number, because the mean of its divisors is an integer number (16768800).

Almost surely, 2^509506432 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 509506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536601600).

509506432 is an abundant number, since it is smaller than the sum of its proper divisors (563696768).

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

509506432 is a wasteful number, since it uses less digits than its factorization.

509506432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 509506432 is about 22572.2491568740. The cubic root of 509506432 is about 798.6991525581.

The spelling of 509506432 in words is "five hundred nine million, five hundred six thousand, four hundred thirty-two".