503164480 has 224 divisors, whose sum is σ = 1517757696. Its totient is φ = 154607616.

The previous prime is 503164477. The next prime is 503164483. The reversal of 503164480 is 84461305.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (503164477) and next prime (503164483).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (503164483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077207 + ... + 1077673.

It is an arithmetic number, because the mean of its divisors is an integer number (6775704).

Almost surely, 2^503164480 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 503164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758878848).

503164480 is an abundant number, since it is smaller than the sum of its proper divisors (1014593216).

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

503164480 is a wasteful number, since it uses less digits than its factorization.

503164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 503164480 is about 22431.3280926476. The cubic root of 503164480 is about 795.3714388397.

The spelling of 503164480 in words is "five hundred three million, one hundred sixty-four thousand, four hundred eighty".