503724960 has 384 divisors, whose sum is σ = 1970438400. Its totient is φ = 119771136.

The previous prime is 503724913. The next prime is 503724971. The reversal of 503724960 is 69427305.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26511831 + ... + 26511849.

It is an arithmetic number, because the mean of its divisors is an integer number (5131350).

Almost surely, 2^503724960 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 503724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985219200).

503724960 is an abundant number, since it is smaller than the sum of its proper divisors (1466713440).

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

503724960 is a wasteful number, since it uses less digits than its factorization.

503724960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 503724960 is about 22443.8178570403. The cubic root of 503724960 is about 795.6666533476. Note that the first 4 decimals are identical.

The spelling of 503724960 in words is "five hundred three million, seven hundred twenty-four thousand, nine hundred sixty".