503925840 has 320 divisors, whose sum is σ = 1919877120. Its totient is φ = 120476160.

The previous prime is 503925823. The next prime is 503925881. The reversal of 503925840 is 48529305.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 503925795 and 503925804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3017437 + ... + 3017603.

It is an arithmetic number, because the mean of its divisors is an integer number (5999616).

Almost surely, 2^503925840 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 503925840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959938560).

503925840 is an abundant number, since it is smaller than the sum of its proper divisors (1415951280).

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

503925840 is a wasteful number, since it uses less digits than its factorization.

503925840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 503925840 is about 22448.2925854061. The cubic root of 503925840 is about 795.7724070082.

The spelling of 503925840 in words is "five hundred three million, nine hundred twenty-five thousand, eight hundred forty".