253599104 has 128 divisors (see below), whose sum is σ = 592220160. Its totient is φ = 107008000.

The previous prime is 253599097. The next prime is 253599121. The reversal of 253599104 is 401995352.

253599104 is digitally balanced in base 2 and base 3, because in such bases 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 (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1327649 + ... + 1327839.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2^253599104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253599104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

253599104 is an abundant number, since it is smaller than the sum of its proper divisors (338621056).

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

253599104 is a wasteful number, since it uses less digits than its factorization.

253599104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 253599104 is about 15924.7952577105. The cubic root of 253599104 is about 632.9691907335.

The spelling of 253599104 in words is "two hundred fifty-three million, five hundred ninety-nine thousand, one hundred four".