252254400000 has 240 divisors, whose sum is σ = 839989081008. Its totient is φ = 67266560000.

The previous prime is 252254399977. The next prime is 252254400029. The reversal of 252254400000 is 4452252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4773724 + ... + 4826276.

Almost surely, 2^252254400000 is an apocalyptic number.

252254400000 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 252254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419994540504).

252254400000 is an abundant number, since it is smaller than the sum of its proper divisors (587734681008).

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

252254400000 is an frugal number, since it uses more digits than its factorization.

252254400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52599 (or 52563 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 252254400000 its reverse (4452252), we get a palindrome (252258852252).

The spelling of 252254400000 in words is "two hundred fifty-two billion, two hundred fifty-four million, four hundred thousand".