504488160 has 144 divisors (see below), whose sum is σ = 1878130800. Its totient is φ = 122296320.

The previous prime is 504488143. The next prime is 504488191. The reversal of 504488160 is 61884405.

504488160 is a `hidden beast` number, since 50 + 448 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×504488160³ (a number of 27 digits) contains 333 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85 + ... + 31764.

It is an arithmetic number, because the mean of its divisors is an integer number (13042575).

Almost surely, 2^504488160 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 504488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939065400).

504488160 is an abundant number, since it is smaller than the sum of its proper divisors (1373642640).

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

504488160 is a wasteful number, since it uses less digits than its factorization.

504488160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31881 (or 31870 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 504488160 is about 22460.8138766163. The cubic root of 504488160 is about 796.0682920794.

The spelling of 504488160 in words is "five hundred four million, four hundred eighty-eight thousand, one hundred sixty".