504542720 has 320 divisors, whose sum is σ = 1484904960. Its totient is φ = 162201600.

The previous prime is 504542713. The next prime is 504542741. The reversal of 504542720 is 27245405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12305900 + ... + 12305940.

It is an arithmetic number, because the mean of its divisors is an integer number (4640328).

Almost surely, 2^504542720 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 504542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742452480).

504542720 is an abundant number, since it is smaller than the sum of its proper divisors (980362240).

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

504542720 is a wasteful number, since it uses less digits than its factorization.

504542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 504542720 is about 22462.0284035080. The cubic root of 504542720 is about 796.0969890993.

The spelling of 504542720 in words is "five hundred four million, five hundred forty-two thousand, seven hundred twenty".