252441600 has 264 divisors, whose sum is σ = 883321440. Its totient is φ = 63406080.

The previous prime is 252441593. The next prime is 252441641. The reversal of 252441600 is 6144252.

It is a super-2 number, since 2×252441600² = 127453522821120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459114 + ... + 1459286.

Almost surely, 2^252441600 is an apocalyptic number.

252441600 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 252441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441660720).

252441600 is an abundant number, since it is smaller than the sum of its proper divisors (630879840).

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

252441600 is a wasteful number, since it uses less digits than its factorization.

252441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 252441600 is about 15888.4108708203. The cubic root of 252441600 is about 632.0047000665.

Adding to 252441600 its reverse (6144252), we get a palindrome (258585852).

The spelling of 252441600 in words is "two hundred fifty-two million, four hundred forty-one thousand, six hundred".