253681200 has 240 divisors, whose sum is σ = 917024640. Its totient is φ = 66597120.

The previous prime is 253681187. The next prime is 253681223. The reversal of 253681200 is 2186352.

253681200 is a `hidden beast` number, since 2 + 536 + 8 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 896259 + ... + 896541.

It is an arithmetic number, because the mean of its divisors is an integer number (3820936).

Almost surely, 2^253681200 is an apocalyptic number.

253681200 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 253681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458512320).

253681200 is an abundant number, since it is smaller than the sum of its proper divisors (663343440).

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

253681200 is a wasteful number, since it uses less digits than its factorization.

253681200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 253681200 is about 15927.3726646927. The cubic root of 253681200 is about 633.0374857071.

The spelling of 253681200 in words is "two hundred fifty-three million, six hundred eighty-one thousand, two hundred".