44048000 has 64 divisors (see below), whose sum is σ = 109554120. Its totient is φ = 17612800.

The previous prime is 44047999. The next prime is 44048027. The reversal of 44048000 is 84044.

It can be written as a sum of positive squares in 4 ways, for example, as 24049216 + 19998784 = 4904^2 + 4472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14624 + ... + 17376.

Almost surely, 2^44048000 is an apocalyptic number.

44048000 is a gapful number since it is divisible by the number (40) 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 44048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54777060).

44048000 is an abundant number, since it is smaller than the sum of its proper divisors (65506120).

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

44048000 is an equidigital number, since it uses as much as digits as its factorization.

44048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 44048000 is about 6636.8667306192. The cubic root of 44048000 is about 353.1631631817.

The spelling of 44048000 in words is "forty-four million, forty-eight thousand".