503005440 has 144 divisors (see below), whose sum is σ = 1836067968. Its totient is φ = 114966528.

The previous prime is 503005427. The next prime is 503005453. The reversal of 503005440 is 44500305.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (503005427) and next prime (503005453).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 17524 + ... + 36236.

It is an arithmetic number, because the mean of its divisors is an integer number (12750472).

Almost surely, 2^503005440 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 503005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918033984).

503005440 is an abundant number, since it is smaller than the sum of its proper divisors (1333062528).

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

503005440 is a wasteful number, since it uses less digits than its factorization.

503005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18744 (or 18730 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 503005440 is about 22427.7827704836. The cubic root of 503005440 is about 795.2876297947.

Adding to 503005440 its reverse (44500305), we get a palindrome (547505745).

The spelling of 503005440 in words is "five hundred three million, five thousand, four hundred forty".