444006 has 24 divisors (see below), whose sum is σ = 1019304. Its totient is φ = 139200.

The previous prime is 444001. The next prime is 444007. The reversal of 444006 is 600444.

444006 = T₂₂₀ + T₂₂₁ + ... + T₂₃₆.

444006 = 115² + 116² + ... + 141².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 444006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (42471).

2⁴⁴⁴⁰⁰⁶ is an apocalyptic number.

444006 is an abundant number, since it is smaller than the sum of its proper divisors (575298).

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

444006 is a wasteful number, since it uses less digits than its factorization.

444006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 444006 is about 666.3377521948. The cubic root of 444006 is about 76.2891799004.

The spelling of 444006 in words is "four hundred forty-four thousand, six".