253204848 has 120 divisors (see below), whose sum is σ = 781981200. Its totient is φ = 75985920.

The previous prime is 253204843. The next prime is 253204867. The reversal of 253204848 is 848402352.

253204848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253204848² = 128225390101406208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253204843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75103 + ... + 78401.

It is an arithmetic number, because the mean of its divisors is an integer number (6516510).

Almost surely, 2^253204848 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 253204848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390990600).

253204848 is an abundant number, since it is smaller than the sum of its proper divisors (528776352).

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

253204848 is a wasteful number, since it uses less digits than its factorization.

253204848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 253204848 is about 15912.4117593783. The cubic root of 253204848 is about 632.6410069578.

The spelling of 253204848 in words is "two hundred fifty-three million, two hundred four thousand, eight hundred forty-eight".