253680800 has 144 divisors (see below), whose sum is σ = 685081152. Its totient is φ = 91238400.

The previous prime is 253680797. The next prime is 253680809. The reversal of 253680800 is 8086352.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (253680809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312395 + ... + 313205.

It is an arithmetic number, because the mean of its divisors is an integer number (4757508).

Almost surely, 2^253680800 is an apocalyptic number.

253680800 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 253680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342540576).

253680800 is an abundant number, since it is smaller than the sum of its proper divisors (431400352).

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

253680800 is a wasteful number, since it uses less digits than its factorization.

253680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 253680800 is about 15927.3601076889. The cubic root of 253680800 is about 633.0371529862.

The spelling of 253680800 in words is "two hundred fifty-three million, six hundred eighty thousand, eight hundred".