253055844 has 72 divisors (see below), whose sum is σ = 672864192. Its totient is φ = 80034240.

The previous prime is 253055833. The next prime is 253055861. The reversal of 253055844 is 448550352.

253055844 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

253055844 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 253055799 and 253055808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107302 + ... + 109634.

It is an arithmetic number, because the mean of its divisors is an integer number (9345336).

Almost surely, 2^253055844 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 253055844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336432096).

253055844 is an abundant number, since it is smaller than the sum of its proper divisors (419808348).

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

253055844 is a wasteful number, since it uses less digits than its factorization.

253055844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 253055844 is about 15907.7290648288. The cubic root of 253055844 is about 632.5168854038.

The spelling of 253055844 in words is "two hundred fifty-three million, fifty-five thousand, eight hundred forty-four".