253680200 has 48 divisors (see below), whose sum is σ = 590968500. Its totient is φ = 101272320.

The previous prime is 253680199. The next prime is 253680233. The reversal of 253680200 is 2086352.

It can be written as a sum of positive squares in 6 ways, for example, as 108284836 + 145395364 = 10406^2 + 12058^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 253680200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140906 + ... + 142694.

Almost surely, 2^253680200 is an apocalyptic number.

253680200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253680200 is an abundant number, since it is smaller than the sum of its proper divisors (337288300).

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

253680200 is a wasteful number, since it uses less digits than its factorization.

253680200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 253680200 is about 15927.3412721647. The cubic root of 253680200 is about 633.0366539042.

The spelling of 253680200 in words is "two hundred fifty-three million, six hundred eighty thousand, two hundred".