509452704 has 72 divisors (see below), whose sum is σ = 1487942820. Its totient is φ = 165224448.

The previous prime is 509452687. The next prime is 509452717. The reversal of 509452704 is 407254905.

It can be written as a sum of positive squares in 2 ways, for example, as 508412304 + 1040400 = 22548^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×509452704² = 519084115225823232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13249 + ... + 34560.

Almost surely, 2^509452704 is an apocalyptic number.

It is an amenable number.

509452704 is an abundant number, since it is smaller than the sum of its proper divisors (978490116).

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

509452704 is a wasteful number, since it uses less digits than its factorization.

509452704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47862 (or 47851 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 509452704 is about 22571.0589915493. The cubic root of 509452704 is about 798.6710770103.

The spelling of 509452704 in words is "five hundred nine million, four hundred fifty-two thousand, seven hundred four".