44401824 has 96 divisors (see below), whose sum is σ = 137168640. Its totient is φ = 13925376.

The previous prime is 44401801. The next prime is 44401831. The reversal of 44401824 is 42810444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13177 + ... + 16199.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^44401824 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 44401824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

44401824 is an abundant number, since it is smaller than the sum of its proper divisors (92766816).

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

44401824 is a wasteful number, since it uses less digits than its factorization.

44401824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 44401824 is about 6663.4693666288. The cubic root of 44401824 is about 354.1062593968.

The spelling of 44401824 in words is "forty-four million, four hundred one thousand, eight hundred twenty-four".