252441400 has 24 divisors (see below), whose sum is σ = 586926720. Its totient is φ = 100976480.

The previous prime is 252441389. The next prime is 252441407. The reversal of 252441400 is 4144252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252441407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 630904 + ... + 631303.

It is an arithmetic number, because the mean of its divisors is an integer number (24455280).

Almost surely, 2^252441400 is an apocalyptic number.

252441400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252441400 is an abundant number, since it is smaller than the sum of its proper divisors (334485320).

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

252441400 is a wasteful number, since it uses less digits than its factorization.

252441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262223 (or 1262214 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 252441400 is about 15888.4045769234. The cubic root of 252441400 is about 632.0045331620.

Adding to 252441400 its reverse (4144252), we get a palindrome (256585652).

The spelling of 252441400 in words is "two hundred fifty-two million, four hundred forty-one thousand, four hundred".