504645120 has 480 divisors, whose sum is σ = 2099196000. Its totient is φ = 114573312.

The previous prime is 504645079. The next prime is 504645133. The reversal of 504645120 is 21546405.

504645120 is a `hidden beast` number, since 5 + 0 + 4 + 645 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3386806 + ... + 3386954.

It is an arithmetic number, because the mean of its divisors is an integer number (4373325).

Almost surely, 2^504645120 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 504645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049598000).

504645120 is an abundant number, since it is smaller than the sum of its proper divisors (1594550880).

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

504645120 is a wasteful number, since it uses less digits than its factorization.

504645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 504645120 is about 22464.3076902005. The cubic root of 504645120 is about 796.1508430242.

The spelling of 504645120 in words is "five hundred four million, six hundred forty-five thousand, one hundred twenty".