503991072 has 120 divisors (see below), whose sum is σ = 1596347676. Its totient is φ = 155063808.

The previous prime is 503991067. The next prime is 503991073. The reversal of 503991072 is 270199305.

It can be written as a sum of positive squares in 2 ways, for example, as 452668176 + 51322896 = 21276^2 + 7164^2 .

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

It is not an unprimeable number, because it can be changed into a prime (503991073) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 26218 + ... + 41174.

Almost surely, 2^503991072 is an apocalyptic number.

503991072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503991072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798173838).

503991072 is an abundant number, since it is smaller than the sum of its proper divisors (1092356604).

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

503991072 is a wasteful number, since it uses less digits than its factorization.

503991072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14992 (or 14975 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 503991072 is about 22449.7454773991. The cubic root of 503991072 is about 795.8067424744.

The spelling of 503991072 in words is "five hundred three million, nine hundred ninety-one thousand, seventy-two".