502790400 has 648 divisors, whose sum is σ = 2174652480. Its totient is φ = 108380160.

The previous prime is 502790341. The next prime is 502790401. The reversal of 502790400 is 4097205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502790401) 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 71 ways as a sum of consecutive naturals, for example, 11692779 + ... + 11692821.

Almost surely, 2^502790400 is an apocalyptic number.

502790400 is a gapful number since it is divisible by the number (50) 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 502790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087326240).

502790400 is an abundant number, since it is smaller than the sum of its proper divisors (1671862080).

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

502790400 is a wasteful number, since it uses less digits than its factorization.

502790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 502790400 is about 22422.9882040731. The cubic root of 502790400 is about 795.1742824265.

The spelling of 502790400 in words is "five hundred two million, seven hundred ninety thousand, four hundred".