451444 has 24 divisors (see below), whose sum is σ = 943488. Its totient is φ = 184800.

The previous prime is 451441. The next prime is 451481. The reversal of 451444 is 444154.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294 + ... + 994.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2⁴⁵¹⁴⁴⁴ 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 451444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

451444 is an abundant number, since it is smaller than the sum of its proper divisors (492044).

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

451444 is a wasteful number, since it uses less digits than its factorization.

451444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 733 counting only the distinct ones).

The product of its digits is 1280, while the sum is 22.

The square root of 451444 is about 671.8958252586. The cubic root of 451444 is about 76.7128224487.

Adding to 451444 its reverse (444154), we get a palindrome (895598).

It can be divided in two parts, 45 and 1444, that multiplied together give a triangular number (64980 = T₃₆₀).

The spelling of 451444 in words is "four hundred fifty-one thousand, four hundred forty-four".