253303200 has 216 divisors, whose sum is σ = 927003168. Its totient is φ = 67495680.

The previous prime is 253303199. The next prime is 253303229. The reversal of 253303200 is 2303352.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×253303200² = 128325022260480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193749 + ... + 195051.

Almost surely, 2^253303200 is an apocalyptic number.

253303200 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 253303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463501584).

253303200 is an abundant number, since it is smaller than the sum of its proper divisors (673699968).

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

253303200 is a wasteful number, since it uses less digits than its factorization.

253303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 253303200 is about 15915.5018771008. The cubic root of 253303200 is about 632.7229083041.

Adding to 253303200 its reverse (2303352), we get a palindrome (255606552).

The spelling of 253303200 in words is "two hundred fifty-three million, three hundred three thousand, two hundred".