44286624 has 72 divisors (see below), whose sum is σ = 126584640. Its totient is φ = 14686848.

The previous prime is 44286623. The next prime is 44286629. The reversal of 44286624 is 42668244.

It is a happy number.

44286624 is a `hidden beast` number, since 4 + 4 + 28 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×44286624² = 3922610130634752, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44286623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105487 + ... + 105905.

It is an arithmetic number, because the mean of its divisors is an integer number (1758120).

Almost surely, 2^44286624 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 44286624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63292320).

44286624 is an abundant number, since it is smaller than the sum of its proper divisors (82298016).

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

44286624 is a wasteful number, since it uses less digits than its factorization.

44286624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 791 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 44286624 is about 6654.8196068714. The cubic root of 44286624 is about 353.7997526863.

The spelling of 44286624 in words is "forty-four million, two hundred eighty-six thousand, six hundred twenty-four".