505557664 has 48 divisors (see below), whose sum is σ = 1045699200. Its totient is φ = 240134400.

The previous prime is 505557653. The next prime is 505557671. The reversal of 505557664 is 466755505.

It is a self number, because there is not a number n which added to its sum of digits gives 505557664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108862 + ... + 113410.

It is an arithmetic number, because the mean of its divisors is an integer number (21785400).

Almost surely, 2^505557664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505557664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522849600).

505557664 is an abundant number, since it is smaller than the sum of its proper divisors (540141536).

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

505557664 is a wasteful number, since it uses less digits than its factorization.

505557664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 43.

The square root of 505557664 is about 22484.6094918280. The cubic root of 505557664 is about 796.6304442097.

The spelling of 505557664 in words is "five hundred five million, five hundred fifty-seven thousand, six hundred sixty-four".