52390400 has 60 divisors (see below), whose sum is σ = 129833022. Its totient is φ = 20951040.

The previous prime is 52390397. The next prime is 52390411. The reversal of 52390400 is 409325.

It can be written as a sum of positive squares in 3 ways, for example, as 36772096 + 15618304 = 6064^2 + 3952^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10754 + ... + 14846.

Almost surely, 2^52390400 is an apocalyptic number.

52390400 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 52390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64916511).

52390400 is an abundant number, since it is smaller than the sum of its proper divisors (77442622).

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

52390400 is an equidigital number, since it uses as much as digits as its factorization.

52390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 52390400 is about 7238.1213032112. The cubic root of 52390400 is about 374.1828726194.

Adding to 52390400 its reverse (409325), we get a palindrome (52799725).

The spelling of 52390400 in words is "fifty-two million, three hundred ninety thousand, four hundred".