503080800 has 144 divisors (see below), whose sum is σ = 1655175312. Its totient is φ = 132710400.

The previous prime is 503080793. The next prime is 503080801. The reversal of 503080800 is 8080305.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503080801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231720 + ... + 233880.

It is an arithmetic number, because the mean of its divisors is an integer number (11494273).

Almost surely, 2^503080800 is an apocalyptic number.

503080800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827587656).

503080800 is an abundant number, since it is smaller than the sum of its proper divisors (1152094512).

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

503080800 is a wasteful number, since it uses less digits than its factorization.

503080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 503080800 is about 22429.4627666380. The cubic root of 503080800 is about 795.3273443307.

The spelling of 503080800 in words is "five hundred three million, eighty thousand, eight hundred".