504426480 has 80 divisors (see below), whose sum is σ = 1572890400. Its totient is φ = 133725184.

The previous prime is 504426479. The next prime is 504426487. The reversal of 504426480 is 84624405.

504426480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504426487) 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, 35446 + ... + 47594.

It is an arithmetic number, because the mean of its divisors is an integer number (19661130).

Almost surely, 2^504426480 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 504426480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786445200).

504426480 is an abundant number, since it is smaller than the sum of its proper divisors (1068463920).

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

504426480 is a wasteful number, since it uses less digits than its factorization.

504426480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12338 (or 12332 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 504426480 is about 22459.4407766534. The cubic root of 504426480 is about 796.0358476487.

The spelling of 504426480 in words is "five hundred four million, four hundred twenty-six thousand, four hundred eighty".