253293200 has 90 divisors (see below), whose sum is σ = 647689014. Its totient is φ = 94863360.

The previous prime is 253293133. The next prime is 253293211. The reversal of 253293200 is 2392352.

It can be written as a sum of positive squares in 9 ways, for example, as 94633984 + 158659216 = 9728^2 + 12596^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 253293200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1312304 + ... + 1312496.

Almost surely, 2^253293200 is an apocalyptic number.

253293200 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 253293200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323844507).

253293200 is an abundant number, since it is smaller than the sum of its proper divisors (394395814).

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

253293200 is a wasteful number, since it uses less digits than its factorization.

253293200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 253293200 is about 15915.1877148842. The cubic root of 253293200 is about 632.7145819027.

The spelling of 253293200 in words is "two hundred fifty-three million, two hundred ninety-three thousand, two hundred".