253478200 has 48 divisors (see below), whose sum is σ = 590899680. Its totient is φ = 101122560.

The previous prime is 253478189. The next prime is 253478207. The reversal of 253478200 is 2874352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253478207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85137 + ... + 88063.

It is an arithmetic number, because the mean of its divisors is an integer number (12310410).

Almost surely, 2^253478200 is an apocalyptic number.

253478200 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 253478200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295449840).

253478200 is an abundant number, since it is smaller than the sum of its proper divisors (337421480).

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

253478200 is a wasteful number, since it uses less digits than its factorization.

253478200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 253478200 is about 15920.9987123924. The cubic root of 253478200 is about 632.8685848681.

It can be divided in two parts, 25 and 3478200, that added together give a square (3478225 = 1865²).

The spelling of 253478200 in words is "two hundred fifty-three million, four hundred seventy-eight thousand, two hundred".