509310472 has 64 divisors (see below), whose sum is σ = 1073145600. Its totient is φ = 224640000.

The previous prime is 509310469. The next prime is 509310481. The reversal of 509310472 is 274013905.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 423472 + ... + 424672.

It is an arithmetic number, because the mean of its divisors is an integer number (16767900).

Almost surely, 2^509310472 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 509310472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536572800).

509310472 is an abundant number, since it is smaller than the sum of its proper divisors (563835128).

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

509310472 is a wasteful number, since it uses less digits than its factorization.

509310472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 509310472 is about 22567.9080111560. The cubic root of 509310472 is about 798.5967441973.

The spelling of 509310472 in words is "five hundred nine million, three hundred ten thousand, four hundred seventy-two".