507465729 has 15 divisors (see below), whose sum is σ = 758369073. Its totient is φ = 338175324.

The previous prime is 507465727. The next prime is 507465757. The reversal of 507465729 is 927564705.

The square root of 507465729 is 22527.

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

507465729 is a `hidden beast` number, since 5 + 0 + 74 + 6 + 572 + 9 = 666.

It is not a de Polignac number, because 507465729 - 2¹ = 507465727 is a prime.

It is a super-2 number, since 2×507465729² = 515042932219002882, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (507465727) 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 in 14 ways as a sum of consecutive naturals, for example, 201492 + ... + 203994.

Almost surely, 2^507465729 is an apocalyptic number.

507465729 is the 22527-th square number.

507465729 is the 11264-th centered octagonal number.

It is an amenable number.

507465729 is a deficient number, since it is larger than the sum of its proper divisors (250903344).

507465729 is an frugal number, since it uses more digits than its factorization.

507465729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The cubic root of 507465729 is about 797.6313945774.

The spelling of 507465729 in words is "five hundred seven million, four hundred sixty-five thousand, seven hundred twenty-nine".