244944 has 80 divisors (see below), whose sum is σ = 813440. Its totient is φ = 69984.

The previous prime is 244943. The next prime is 244957. The reversal of 244944 is 449442.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4608) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 244944.

It is not an unprimeable number, because it can be changed into a prime (244943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34989 + ... + 34995.

It is an arithmetic number, because the mean of its divisors is an integer number (10168).

2^{244944} is an apocalyptic number.

244944 is a gapful number since it is divisible by the number (24) 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 244944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406720).

244944 is an abundant number, since it is smaller than the sum of its proper divisors (568496).

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

244944 is an frugal number, since it uses more digits than its factorization.

244944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 12 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 244944 is about 494.9181750552. The cubic root of 244944 is about 62.5684796080.

The spelling of 244944 in words is "two hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2187 2268 2916 3024 3402 3888 4374 4536 5103 5832 6804 8748 9072 10206 11664 13608 15309 17496 20412 27216 30618 34992 40824 61236 81648 122472 244944

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