253468800 has 288 divisors, whose sum is σ = 975445380. Its totient is φ = 62300160.

The previous prime is 253468777. The next prime is 253468823. The reversal of 253468800 is 8864352.

It is an interprime number because it is at equal distance from previous prime (253468777) and next prime (253468823).

It can be written as a sum of positive squares in 6 ways, for example, as 131056704 + 122412096 = 11448^2 + 11064^2 .

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374062 + ... + 374738.

Almost surely, 2^253468800 is an apocalyptic number.

253468800 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 253468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487722690).

253468800 is an abundant number, since it is smaller than the sum of its proper divisors (721976580).

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

253468800 is a wasteful number, since it uses less digits than its factorization.

253468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 253468800 is about 15920.7035020441. The cubic root of 253468800 is about 632.8607616599.

The spelling of 253468800 in words is "two hundred fifty-three million, four hundred sixty-eight thousand, eight hundred".