252212400 has 360 divisors, whose sum is σ = 991828880. Its totient is φ = 60825600.

The previous prime is 252212381. The next prime is 252212417. The reversal of 252212400 is 4212252.

252212400 is a `hidden beast` number, since 2 + 52 + 212 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×252212400² = 127222189427520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1306704 + ... + 1306896.

Almost surely, 2^252212400 is an apocalyptic number.

252212400 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 252212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495914440).

252212400 is an abundant number, since it is smaller than the sum of its proper divisors (739616480).

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

252212400 is a wasteful number, since it uses less digits than its factorization.

252212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 214 counting only the distinct ones).

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

The square root of 252212400 is about 15881.1964284811. The cubic root of 252212400 is about 631.8133695581.

Adding to 252212400 its reverse (4212252), we get a palindrome (256424652).

The spelling of 252212400 in words is "two hundred fifty-two million, two hundred twelve thousand, four hundred".