503856640 has 160 divisors (see below), whose sum is σ = 1426765824. Its totient is φ = 166993920.

The previous prime is 503856593. The next prime is 503856641. The reversal of 503856640 is 46658305.

503856640 is a nontrivial binomial coefficient, being equal to C(31745, 2).

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 503856640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503856641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555067 + ... + 555973.

Almost surely, 2^503856640 is an apocalyptic number.

503856640 is the 31744-th triangular number.

503856640 is the 10582-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713382912).

503856640 is an abundant number, since it is smaller than the sum of its proper divisors (922909184).

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

503856640 is an equidigital number, since it uses as much as digits as its factorization.

503856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 503856640 is about 22446.7512125920. The cubic root of 503856640 is about 795.7359797095.

The spelling of 503856640 in words is "five hundred three million, eight hundred fifty-six thousand, six hundred forty".