52210400 has 144 divisors (see below), whose sum is σ = 147646800. Its totient is φ = 17817600.

The previous prime is 52210393. The next prime is 52210409. The reversal of 52210400 is 401225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52210409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149426 + ... + 149774.

It is an arithmetic number, because the mean of its divisors is an integer number (1025325).

Almost surely, 2^52210400 is an apocalyptic number.

52210400 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 52210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73823400).

52210400 is an abundant number, since it is smaller than the sum of its proper divisors (95436400).

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

52210400 is a wasteful number, since it uses less digits than its factorization.

52210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 52210400 is about 7225.6764389225. The cubic root of 52210400 is about 373.7538487242.

Adding to 52210400 its reverse (401225), we get a palindrome (52611625).

The spelling of 52210400 in words is "fifty-two million, two hundred ten thousand, four hundred".