52214400 has 432 divisors, whose sum is σ = 222588990. Its totient is φ = 11612160.

The previous prime is 52214291. The next prime is 52214417. The reversal of 52214400 is 441225.

52214400 is a `hidden beast` number, since 5 + 221 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 47444544 + 4769856 = 6888^2 + 2184^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 53 ways as a sum of consecutive naturals, for example, 1411182 + ... + 1411218.

Almost surely, 2^52214400 is an apocalyptic number.

52214400 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 52214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111294495).

52214400 is an abundant number, since it is smaller than the sum of its proper divisors (170374590).

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

52214400 is a wasteful number, since it uses less digits than its factorization.

52214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 52214400 is about 7225.9532243158. The cubic root of 52214400 is about 373.7633932927.

Adding to 52214400 its reverse (441225), we get a palindrome (52655625).

The spelling of 52214400 in words is "fifty-two million, two hundred fourteen thousand, four hundred".