814044 has 48 divisors (see below), whose sum is σ = 2370816. Its totient is φ = 211200.

The previous prime is 814043. The next prime is 814049. The reversal of 814044 is 440418.

814044 = T₂₂₇ + T₂₂₈ + ... + T₂₅₄.

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

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 814044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (49392).

2⁸¹⁴⁰⁴⁴ is an apocalyptic number.

814044 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 814044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185408).

814044 is an abundant number, since it is smaller than the sum of its proper divisors (1556772).

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

814044 is a wasteful number, since it uses less digits than its factorization.

814044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 904 counting only the distinct ones).

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

The square root of 814044 is about 902.2438694721. The cubic root of 814044 is about 93.3718491829.

The spelling of 814044 in words is "eight hundred fourteen thousand, forty-four".