244890400 has 72 divisors (see below), whose sum is σ = 600055344. Its totient is φ = 97593600.

The previous prime is 244890397. The next prime is 244890403. The reversal of 244890400 is 4098442.

It is an interprime number because it is at equal distance from previous prime (244890397) and next prime (244890403).

It is not an unprimeable number, because it can be changed into a prime (244890403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 354055 + ... + 354745.

It is an arithmetic number, because the mean of its divisors is an integer number (8334102).

Almost surely, 2^244890400 is an apocalyptic number.

244890400 is a gapful number since it is divisible by the number (20) 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 244890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300027672).

244890400 is an abundant number, since it is smaller than the sum of its proper divisors (355164944).

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

244890400 is a wasteful number, since it uses less digits than its factorization.

244890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 244890400 is about 15648.9744072894. The cubic root of 244890400 is about 625.6391541483.

The spelling of 244890400 in words is "two hundred forty-four million, eight hundred ninety thousand, four hundred".