253216800 has 288 divisors, whose sum is σ = 965563200. Its totient is φ = 63866880.

The previous prime is 253216787. The next prime is 253216823. The reversal of 253216800 is 8612352.

253216800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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, 410092 + ... + 410708.

It is an arithmetic number, because the mean of its divisors is an integer number (3352650).

Almost surely, 2^253216800 is an apocalyptic number.

253216800 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 253216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482781600).

253216800 is an abundant number, since it is smaller than the sum of its proper divisors (712346400).

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

253216800 is a wasteful number, since it uses less digits than its factorization.

253216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 646 counting only the distinct ones).

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

The square root of 253216800 is about 15912.7873108390. The cubic root of 253216800 is about 632.6509609620.

It can be divided in two parts, 253216 and 800, that added together give a square (254016 = 504²).

The spelling of 253216800 in words is "two hundred fifty-three million, two hundred sixteen thousand, eight hundred".