253020800 has 96 divisors (see below), whose sum is σ = 642233820. Its totient is φ = 98426880.

The previous prime is 253020797. The next prime is 253020811. The reversal of 253020800 is 8020352.

It can be written as a sum of positive squares in 6 ways, for example, as 77299264 + 175721536 = 8792^2 + 13256^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 117332 + ... + 119468.

Almost surely, 2^253020800 is an apocalyptic number.

253020800 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 253020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321116910).

253020800 is an abundant number, since it is smaller than the sum of its proper divisors (389213020).

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

253020800 is a wasteful number, since it uses less digits than its factorization.

253020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 253020800 is about 15906.6275495468. The cubic root of 253020800 is about 632.4876863877.

The spelling of 253020800 in words is "two hundred fifty-three million, twenty thousand, eight hundred".