252414231234400 has 288 divisors, whose sum is σ = 670365541359360. Its totient is φ = 92550103726080.

The previous prime is 252414231234353. The next prime is 252414231234421. The reversal of 252414231234400 is 4432132414252.

It is a self number, because there is not a number n which added to its sum of digits gives 252414231234400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38923911 + ... + 44943289.

It is an arithmetic number, because the mean of its divisors is an integer number (2327658129720).

Almost surely, 2^{252414231234400} is an apocalyptic number.

252414231234400 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 252414231234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335182770679680).

252414231234400 is an abundant number, since it is smaller than the sum of its proper divisors (417951310124960).

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

252414231234400 is a wasteful number, since it uses less digits than its factorization.

252414231234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6019518 (or 6019505 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 252414231234400 its reverse (4432132414252), we get a palindrome (256846363648652).

The spelling of 252414231234400 in words is "two hundred fifty-two trillion, four hundred fourteen billion, two hundred thirty-one million, two hundred thirty-four thousand, four hundred".