504080640 has 648 divisors, whose sum is σ = 2181029760. Its totient is φ = 106831872.

The previous prime is 504080623. The next prime is 504080641. The reversal of 504080640 is 46080405.

It is not an unprimeable number, because it can be changed into a prime (504080641) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10725097 + ... + 10725143.

Almost surely, 2^504080640 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 504080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090514880).

504080640 is an abundant number, since it is smaller than the sum of its proper divisors (1676949120).

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

504080640 is a wasteful number, since it uses less digits than its factorization.

504080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 504080640 is about 22451.7402443552. The cubic root of 504080640 is about 795.8538825927.

It can be divided in two parts, 5040 and 80640, that multiplied together give a square (406425600 = 20160²).

The spelling of 504080640 in words is "five hundred four million, eighty thousand, six hundred forty".