253800288 has 144 divisors (see below), whose sum is σ = 837607680. Its totient is φ = 71394048.

The previous prime is 253800269. The next prime is 253800299. The reversal of 253800288 is 882008352.

253800288 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134133 + ... + 136011.

It is an arithmetic number, because the mean of its divisors is an integer number (5816720).

Almost surely, 2^253800288 is an apocalyptic number.

253800288 is a gapful number since it is divisible by the number (28) 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 253800288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418803840).

253800288 is an abundant number, since it is smaller than the sum of its proper divisors (583807392).

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

253800288 is a wasteful number, since it uses less digits than its factorization.

253800288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 253800288 is about 15931.1106957425. The cubic root of 253800288 is about 633.1365278311.

The spelling of 253800288 in words is "two hundred fifty-three million, eight hundred thousand, two hundred eighty-eight".