253323200 has 168 divisors, whose sum is σ = 707715120. Its totient is φ = 88473600.

The previous prime is 253323197. The next prime is 253323209. The reversal of 253323200 is 2323352.

253323200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253323209) 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, 394880 + ... + 395520.

It is an arithmetic number, because the mean of its divisors is an integer number (4212590).

Almost surely, 2^253323200 is an apocalyptic number.

253323200 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 253323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353857560).

253323200 is an abundant number, since it is smaller than the sum of its proper divisors (454391920).

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

253323200 is a wasteful number, since it uses less digits than its factorization.

253323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 253323200 is about 15916.1301829308. The cubic root of 253323200 is about 632.7395604495.

Adding to 253323200 its reverse (2323352), we get a palindrome (255646552).

The spelling of 253323200 in words is "two hundred fifty-three million, three hundred twenty-three thousand, two hundred".