509947264 has 16 divisors (see below), whose sum is σ = 1015910820. Its totient is φ = 254973568.

The previous prime is 509947261. The next prime is 509947297. The reversal of 509947264 is 462749905.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×509947264² = 520092424122171392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509947261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1991854 + ... + 1992109.

Almost surely, 2^509947264 is an apocalyptic number.

It is an amenable number.

509947264 is a deficient number, since it is larger than the sum of its proper divisors (505963556).

509947264 is an equidigital number, since it uses as much as digits as its factorization.

509947264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983977 (or 3983965 counting only the distinct ones).

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

The square root of 509947264 is about 22582.0119564223. The cubic root of 509947264 is about 798.9294346681.

The spelling of 509947264 in words is "five hundred nine million, nine hundred forty-seven thousand, two hundred sixty-four".