253749200 has 30 divisors (see below), whose sum is σ = 609633414. Its totient is φ = 101499520.

The previous prime is 253749173. The next prime is 253749239. The reversal of 253749200 is 2947352.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16096144 + 237653056 = 4012^2 + 15416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 316787 + ... + 317586.

Almost surely, 2^253749200 is an apocalyptic number.

253749200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253749200 is an abundant number, since it is smaller than the sum of its proper divisors (355884214).

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

253749200 is a wasteful number, since it uses less digits than its factorization.

253749200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634391 (or 634380 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 253749200 is about 15929.5072114614. The cubic root of 253749200 is about 633.0940431808.

The spelling of 253749200 in words is "two hundred fifty-three million, seven hundred forty-nine thousand, two hundred".