52402400 has 72 divisors (see below), whose sum is σ = 132116544. Its totient is φ = 20275200.

The previous prime is 52402379. The next prime is 52402403. The reversal of 52402400 is 420425.

52402400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52402403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23744 + ... + 25856.

It is an arithmetic number, because the mean of its divisors is an integer number (1834952).

Almost surely, 2^52402400 is an apocalyptic number.

52402400 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 52402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66058272).

52402400 is an abundant number, since it is smaller than the sum of its proper divisors (79714144).

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

52402400 is a wasteful number, since it uses less digits than its factorization.

52402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 52402400 is about 7238.9502001326. The cubic root of 52402400 is about 374.2114392505.

Adding to 52402400 its reverse (420425), we get a palindrome (52822825).

The spelling of 52402400 in words is "fifty-two million, four hundred two thousand, four hundred".