503493120 has 360 divisors, whose sum is σ = 1924790868. Its totient is φ = 120913920.

The previous prime is 503493091. The next prime is 503493239. The reversal of 503493120 is 21394305.

503493120 is a `hidden beast` number, since 5 + 0 + 349 + 312 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 502477056 = 1008^2 + 22416^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12280300 + ... + 12280340.

Almost surely, 2^503493120 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 503493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962395434).

503493120 is an abundant number, since it is smaller than the sum of its proper divisors (1421297748).

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

503493120 is a wasteful number, since it uses less digits than its factorization.

503493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 503493120 is about 22438.6523659510. The cubic root of 503493120 is about 795.5445657805.

The spelling of 503493120 in words is "five hundred three million, four hundred ninety-three thousand, one hundred twenty".