503807040 has 672 divisors, whose sum is σ = 2130186240. Its totient is φ = 111974400.

The previous prime is 503807033. The next prime is 503807063. The reversal of 503807040 is 40708305.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 503806995 and 503807013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16251825 + ... + 16251855.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2^503807040 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 503807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065093120).

503807040 is an abundant number, since it is smaller than the sum of its proper divisors (1626379200).

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

503807040 is a wasteful number, since it uses less digits than its factorization.

503807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 503807040 is about 22445.6463484570. The cubic root of 503807040 is about 795.7098679172.

The spelling of 503807040 in words is "five hundred three million, eight hundred seven thousand, forty".