503345664 has 200 divisors, whose sum is σ = 1537384860. Its totient is φ = 163897344.

The previous prime is 503345657. The next prime is 503345677. The reversal of 503345664 is 466543305.

It can be written as a sum of positive squares in 2 ways, for example, as 435974400 + 67371264 = 20880^2 + 8208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2197902 + ... + 2198130.

Almost surely, 2^503345664 is an apocalyptic number.

503345664 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 503345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768692430).

503345664 is an abundant number, since it is smaller than the sum of its proper divisors (1034039196).

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

503345664 is an equidigital number, since it uses as much as digits as its factorization.

503345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 503345664 is about 22435.3663665205. The cubic root of 503345664 is about 795.4668955545.

Adding to 503345664 its reverse (466543305), we get a palindrome (969888969).

The spelling of 503345664 in words is "five hundred three million, three hundred forty-five thousand, six hundred sixty-four".