444096720 has 120 divisors (see below), whose sum is σ = 1542925800. Its totient is φ = 114336768.

The previous prime is 444096677. The next prime is 444096721. The reversal of 444096720 is 27690444.

It can be written as a sum of positive squares in 4 ways, for example, as 60093504 + 384003216 = 7752^2 + 19596^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444096721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10246 + ... + 31514.

It is an arithmetic number, because the mean of its divisors is an integer number (12857715).

Almost surely, 2^444096720 is an apocalyptic number.

444096720 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 444096720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771462900).

444096720 is an abundant number, since it is smaller than the sum of its proper divisors (1098829080).

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

444096720 is a wasteful number, since it uses less digits than its factorization.

444096720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21317 (or 21308 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 444096720 is about 21073.6024447649. The cubic root of 444096720 is about 762.9437538805.

The spelling of 444096720 in words is "four hundred forty-four million, ninety-six thousand, seven hundred twenty".