252534400 has 96 divisors (see below), whose sum is σ = 636036300. Its totient is φ = 99041280.

The previous prime is 252534397. The next prime is 252534409. The reversal of 252534400 is 4435252.

It can be written as a sum of positive squares in 6 ways, for example, as 81866304 + 170668096 = 9048^2 + 13064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (252534409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168856 + ... + 170344.

Almost surely, 2^252534400 is an apocalyptic number.

252534400 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 252534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318018150).

252534400 is an abundant number, since it is smaller than the sum of its proper divisors (383501900).

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

252534400 is a wasteful number, since it uses less digits than its factorization.

252534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 252534400 is about 15891.3309700604. The cubic root of 252534400 is about 632.0821342808.

Adding to 252534400 its reverse (4435252), we get a palindrome (256969652).

The spelling of 252534400 in words is "two hundred fifty-two million, five hundred thirty-four thousand, four hundred".