444612 has 48 divisors (see below), whose sum is σ = 1218560. Its totient is φ = 123552.

The previous prime is 444607. The next prime is 444623. The reversal of 444612 is 216444.

444612 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5589 + ... + 5667.

2⁴⁴⁴⁶¹² is an apocalyptic number.

444612 is a gapful number since it is divisible by the number (42) 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 444612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609280).

444612 is an abundant number, since it is smaller than the sum of its proper divisors (773948).

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

444612 is a wasteful number, since it uses less digits than its factorization.

444612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 444612 is about 666.7923214915. The cubic root of 444612 is about 76.3238717935.

It can be divided in two parts, 44 and 4612, that added together give a triangular number (4656 = T₉₆).

The spelling of 444612 in words is "four hundred forty-four thousand, six hundred twelve".