252320405200 has 120 divisors (see below), whose sum is σ = 647267911488. Its totient is φ = 94294717440.

The previous prime is 252320405191. The next prime is 252320405201. The reversal of 252320405200 is 2504023252.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252320405201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76692 + ... + 714508.

Almost surely, 2^252320405200 is an apocalyptic number.

252320405200 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 252320405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323633955744).

252320405200 is an abundant number, since it is smaller than the sum of its proper divisors (394947506288).

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

252320405200 is a wasteful number, since it uses less digits than its factorization.

252320405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637901 (or 637890 counting only the distinct ones).

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

Adding to 252320405200 its reverse (2504023252), we get a palindrome (254824428452).

The spelling of 252320405200 in words is "two hundred fifty-two billion, three hundred twenty million, four hundred five thousand, two hundred".