504533664 has 96 divisors (see below), whose sum is σ = 1475470080. Its totient is φ = 167731200.

The previous prime is 504533639. The next prime is 504533669. The reversal of 504533664 is 466335405.

It is a tau number, because it is divible by the number of its divisors (96).

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 (504533669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 553369 + ... + 554279.

It is an arithmetic number, because the mean of its divisors is an integer number (15369480).

Almost surely, 2^504533664 is an apocalyptic number.

504533664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504533664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737735040).

504533664 is an abundant number, since it is smaller than the sum of its proper divisors (970936416).

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

504533664 is a wasteful number, since it uses less digits than its factorization.

504533664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 504533664 is about 22461.8268179594. The cubic root of 504533664 is about 796.0922260421.

The spelling of 504533664 in words is "five hundred four million, five hundred thirty-three thousand, six hundred sixty-four".