503959680 has 384 divisors, whose sum is σ = 2062195200. Its totient is φ = 110960640.

The previous prime is 503959663. The next prime is 503959759. The reversal of 503959680 is 86959305.

503959680 is a `hidden beast` number, since 50 + 3 + 9 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169065 + ... + 1169495.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2^503959680 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 503959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031097600).

503959680 is an abundant number, since it is smaller than the sum of its proper divisors (1558235520).

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

503959680 is a wasteful number, since it uses less digits than its factorization.

503959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 503959680 is about 22449.0463049101. The cubic root of 503959680 is about 795.7902193749.

The spelling of 503959680 in words is "five hundred three million, nine hundred fifty-nine thousand, six hundred eighty".