253351200 has 72 divisors (see below), whose sum is σ = 824665968. Its totient is φ = 67559680.

The previous prime is 253351199. The next prime is 253351201. The reversal of 253351200 is 2153352.

It is an interprime number because it is at equal distance from previous prime (253351199) and next prime (253351201).

It is not an unprimeable number, because it can be changed into a prime (253351201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 50382 + ... + 55181.

It is an arithmetic number, because the mean of its divisors is an integer number (11453694).

Almost surely, 2^253351200 is an apocalyptic number.

253351200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253351200 is an abundant number, since it is smaller than the sum of its proper divisors (571314768).

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

253351200 is a wasteful number, since it uses less digits than its factorization.

253351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105586 (or 105573 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 253351200 is about 15917.0097694259. The cubic root of 253351200 is about 632.7628719806.

The spelling of 253351200 in words is "two hundred fifty-three million, three hundred fifty-one thousand, two hundred".