504245664 has 72 divisors (see below), whose sum is σ = 1544263812. Its totient is φ = 155151360.

The previous prime is 504245647. The next prime is 504245669. The reversal of 504245664 is 466542405.

504245664 is a `hidden beast` number, since 50 + 42 + 4 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 349989264 + 154256400 = 18708^2 + 12420^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (504245669) 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 11 ways as a sum of consecutive naturals, for example, 63597 + ... + 71084.

Almost surely, 2^504245664 is an apocalyptic number.

It is an amenable number.

504245664 is an abundant number, since it is smaller than the sum of its proper divisors (1040018148).

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

504245664 is a wasteful number, since it uses less digits than its factorization.

504245664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134710 (or 134699 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 504245664 is about 22455.4150262247. The cubic root of 504245664 is about 795.9407209881.

The spelling of 504245664 in words is "five hundred four million, two hundred forty-five thousand, six hundred sixty-four".