504483840 has 624 divisors, whose sum is σ = 2208031488. Its totient is φ = 103809024.

The previous prime is 504483827. The next prime is 504483841. The reversal of 504483840 is 48384405.

It is a super-2 number, since 2×504483840² = 509007889642291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 504483795 and 504483804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504483841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21934069 + ... + 21934091.

It is an arithmetic number, because the mean of its divisors is an integer number (3538512).

Almost surely, 2^504483840 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 504483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104015744).

504483840 is an abundant number, since it is smaller than the sum of its proper divisors (1703547648).

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

504483840 is a wasteful number, since it uses less digits than its factorization.

504483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 504483840 is about 22460.7177089246. The cubic root of 504483840 is about 796.0660197929.

The spelling of 504483840 in words is "five hundred four million, four hundred eighty-three thousand, eight hundred forty".