252333222400 has 360 divisors, whose sum is σ = 752376337020. Its totient is φ = 83524976640.

The previous prime is 252333222397. The next prime is 252333222403. The reversal of 252333222400 is 4222333252.

It is an interprime number because it is at equal distance from previous prime (252333222397) and next prime (252333222403).

It can be written as a sum of positive squares in 6 ways, for example, as 89491919104 + 162841303296 = 299152^2 + 403536^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (252333222403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18181864 + ... + 18195736.

Almost surely, 2^252333222400 is an apocalyptic number.

252333222400 is a gapful number since it is divisible by the number (20) 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 252333222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376188168510).

252333222400 is an abundant number, since it is smaller than the sum of its proper divisors (500043114620).

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

252333222400 is a wasteful number, since it uses less digits than its factorization.

252333222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13944 (or 13916 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 252333222400 its reverse (4222333252), we get a palindrome (256555555652).

The spelling of 252333222400 in words is "two hundred fifty-two billion, three hundred thirty-three million, two hundred twenty-two thousand, four hundred".