504386880 has 112 divisors (see below), whose sum is σ = 1617293184. Its totient is φ = 133171200.

The previous prime is 504386843. The next prime is 504386881. The reversal of 504386880 is 88683405.

It is a super-2 number, since 2×504386880² = 508812249432268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504386881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96330 + ... + 101430.

Almost surely, 2^504386880 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 504386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808646592).

504386880 is an abundant number, since it is smaller than the sum of its proper divisors (1112906304).

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

504386880 is a wasteful number, since it uses less digits than its factorization.

504386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 504386880 is about 22458.5591701694. The cubic root of 504386880 is about 796.0150161725.

The spelling of 504386880 in words is "five hundred four million, three hundred eighty-six thousand, eight hundred eighty".