509946724 has 27 divisors (see below), whose sum is σ = 1038749817. Its totient is φ = 218413104.

The previous prime is 509946629. The next prime is 509946733. The reversal of 509946724 is 427649905.

The square root of 509946724 is 22582.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 318622500 + 191324224 = 17850^2 + 13832^2 .

It is a super-2 number, since 2×509946724² = 520091322636664352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 315342 + ... + 316954.

Almost surely, 2^509946724 is an apocalyptic number.

509946724 is the 22582-nd square number.

It is an amenable number.

509946724 is an abundant number, since it is smaller than the sum of its proper divisors (528803093).

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

509946724 is an equidigital number, since it uses as much as digits as its factorization.

509946724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The cubic root of 509946724 is about 798.9291526637.

The spelling of 509946724 in words is "five hundred nine million, nine hundred forty-six thousand, seven hundred twenty-four".