444807 has 12 divisors (see below), whose sum is σ = 701064. Its totient is φ = 269520.

The previous prime is 444803. The next prime is 444811. The reversal of 444807 is 708444.

It is an interprime number because it is at equal distance from previous prime (444803) and next prime (444811).

It is not a de Polignac number, because 444807 - 2² = 444803 is a prime.

It is a super-4 number, since 4×444807⁴ (a number of 24 digits) contains 4444 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444807.

It is not an unprimeable number, because it can be changed into a prime (444803) 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, 2148 + ... + 2345.

It is an arithmetic number, because the mean of its divisors is an integer number (58422).

2⁴⁴⁴⁸⁰⁷ is an apocalyptic number.

444807 is a deficient number, since it is larger than the sum of its proper divisors (256257).

444807 is a wasteful number, since it uses less digits than its factorization.

444807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 444807 is about 666.9385279019. The cubic root of 444807 is about 76.3350283223.

It can be divided in two parts, 44 and 4807, that added together give a triangular number (4851 = T₉₈).

The spelling of 444807 in words is "four hundred forty-four thousand, eight hundred seven".