253050444 has 72 divisors (see below), whose sum is σ = 656667648. Its totient is φ = 82126560.

The previous prime is 253050403. The next prime is 253050463. The reversal of 253050444 is 444050352.

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, 586909 + ... + 587339.

It is an arithmetic number, because the mean of its divisors is an integer number (9120384).

Almost surely, 2^253050444 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 253050444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328333824).

253050444 is an abundant number, since it is smaller than the sum of its proper divisors (403617204).

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

253050444 is a wasteful number, since it uses less digits than its factorization.

253050444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 253050444 is about 15907.5593351086. The cubic root of 253050444 is about 632.5123862448.

The spelling of 253050444 in words is "two hundred fifty-three million, fifty thousand, four hundred forty-four".