252345600 has 324 divisors, whose sum is σ = 974474956. Its totient is φ = 61931520.

The previous prime is 252345589. The next prime is 252345619. The reversal of 252345600 is 6543252.

252345600 is a `hidden beast` number, since 2 + 52 + 3 + 4 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 49112064 + 203233536 = 7008^2 + 14256^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748632 + ... + 748968.

Almost surely, 2^252345600 is an apocalyptic number.

252345600 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 252345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487237478).

252345600 is an abundant number, since it is smaller than the sum of its proper divisors (722129356).

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

252345600 is a wasteful number, since it uses less digits than its factorization.

252345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 252345600 is about 15885.3895136380. The cubic root of 252345600 is about 631.9245757344.

Adding to 252345600 its reverse (6543252), we get a palindrome (258888852).

The spelling of 252345600 in words is "two hundred fifty-two million, three hundred forty-five thousand, six hundred".