504090720 has 288 divisors, whose sum is σ = 2013403392. Its totient is φ = 112444416.

The previous prime is 504090689. The next prime is 504090737. The reversal of 504090720 is 27090405.

504090720 is a `hidden beast` number, since 504 + 0 + 90 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432859 + ... + 434021.

It is an arithmetic number, because the mean of its divisors is an integer number (6990984).

Almost surely, 2^504090720 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 504090720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006701696).

504090720 is an abundant number, since it is smaller than the sum of its proper divisors (1509312672).

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

504090720 is a wasteful number, since it uses less digits than its factorization.

504090720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 504090720 is about 22451.9647247184. The cubic root of 504090720 is about 795.8591874011.

The spelling of 504090720 in words is "five hundred four million, ninety thousand, seven hundred twenty".