503905680 has 120 divisors (see below), whose sum is σ = 1697784192. Its totient is φ = 133938432.

The previous prime is 503905639. The next prime is 503905729. The reversal of 503905680 is 86509305.

503905680 is a `hidden beast` number, since 5 + 0 + 3 + 90 + 568 + 0 = 666.

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

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

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, 263287 + ... + 265193.

Almost surely, 2^503905680 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 503905680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848892096).

503905680 is an abundant number, since it is smaller than the sum of its proper divisors (1193878512).

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

503905680 is a wasteful number, since it uses less digits than its factorization.

503905680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 503905680 is about 22447.8435489915. The cubic root of 503905680 is about 795.7617950065.

The spelling of 503905680 in words is "five hundred three million, nine hundred five thousand, six hundred eighty".