504042588 has 180 divisors, whose sum is σ = 1601778640. Its totient is φ = 135364608.

The previous prime is 504042569. The next prime is 504042607. The reversal of 504042588 is 885240405.

It is an interprime number because it is at equal distance from previous prime (504042569) and next prime (504042607).

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 655068 + ... + 655836.

Almost surely, 2^504042588 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 504042588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800889320).

504042588 is an abundant number, since it is smaller than the sum of its proper divisors (1097736052).

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

504042588 is a wasteful number, since it uses less digits than its factorization.

504042588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 504042588 is about 22450.8928107548. The cubic root of 504042588 is about 795.8338563035.

The spelling of 504042588 in words is "five hundred four million, forty-two thousand, five hundred eighty-eight".