503056080 has 120 divisors (see below), whose sum is σ = 1698403200. Its totient is φ = 133436160.

The previous prime is 503056079. The next prime is 503056091. The reversal of 503056080 is 80650305.

503056080 is a `hidden beast` number, since 50 + 3 + 0 + 5 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141525 + ... + 145035.

It is an arithmetic number, because the mean of its divisors is an integer number (14153360).

Almost surely, 2^503056080 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 503056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849201600).

503056080 is an abundant number, since it is smaller than the sum of its proper divisors (1195347120).

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

503056080 is a wasteful number, since it uses less digits than its factorization.

503056080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 503056080 is about 22428.9116989657. The cubic root of 503056080 is about 795.3143173882.

The spelling of 503056080 in words is "five hundred three million, fifty-six thousand, eighty".