503075664 has 320 divisors, whose sum is σ = 1813217280. Its totient is φ = 130014720.

The previous prime is 503075663. The next prime is 503075687. The reversal of 503075664 is 466570305.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503075663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2633809 + ... + 2633999.

It is an arithmetic number, because the mean of its divisors is an integer number (5666304).

Almost surely, 2^503075664 is an apocalyptic number.

503075664 is a gapful number since it is divisible by the number (54) 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 503075664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906608640).

503075664 is an abundant number, since it is smaller than the sum of its proper divisors (1310141616).

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

503075664 is a wasteful number, since it uses less digits than its factorization.

503075664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 503075664 is about 22429.3482740805. The cubic root of 503075664 is about 795.3246377972.

The spelling of 503075664 in words is "five hundred three million, seventy-five thousand, six hundred sixty-four".