44286144 has 112 divisors (see below), whose sum is σ = 135867648. Its totient is φ = 12469248.

The previous prime is 44286127. The next prime is 44286149. The reversal of 44286144 is 44168244.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×44286144² = 3922525100777472, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (44286149) 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, 111354 + ... + 111750.

It is an arithmetic number, because the mean of its divisors is an integer number (1213104).

Almost surely, 2^44286144 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 44286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67933824).

44286144 is an abundant number, since it is smaller than the sum of its proper divisors (91581504).

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

44286144 is a wasteful number, since it uses less digits than its factorization.

44286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 44286144 is about 6654.7835426857. The cubic root of 44286144 is about 353.7984744637.

The spelling of 44286144 in words is "forty-four million, two hundred eighty-six thousand, one hundred forty-four".