504842688 has 252 divisors, whose sum is σ = 1740603072. Its totient is φ = 139345920.

The previous prime is 504842687. The next prime is 504842707. The reversal of 504842688 is 886248405.

504842688 is a `hidden beast` number, since 504 + 84 + 2 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×504842688² = 509732279254130688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504842687) 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 35 ways as a sum of consecutive naturals, for example, 874656 + ... + 875232.

Almost surely, 2^504842688 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 504842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870301536).

504842688 is an abundant number, since it is smaller than the sum of its proper divisors (1235760384).

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

504842688 is a wasteful number, since it uses less digits than its factorization.

504842688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 504842688 is about 22468.7046355592. The cubic root of 504842688 is about 796.2547268568.

The spelling of 504842688 in words is "five hundred four million, eight hundred forty-two thousand, six hundred eighty-eight".