801444 has 72 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 216384.

The previous prime is 801421. The next prime is 801461. The reversal of 801444 is 444108.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 801444.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 801444.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17029 + ... + 17075.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2⁸⁰¹⁴⁴⁴ is an apocalyptic number.

801444 is a gapful number since it is divisible by the number (84) 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 801444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

801444 is an abundant number, since it is smaller than the sum of its proper divisors (1496796).

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

801444 is a wasteful number, since it uses less digits than its factorization.

801444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 801444 is about 895.2340476099. The cubic root of 801444 is about 92.8875968862.

The spelling of 801444 in words is "eight hundred one thousand, four hundred forty-four".