444521 has 16 divisors (see below), whose sum is σ = 580608. Its totient is φ = 330000.

The previous prime is 444517. The next prime is 444523. The reversal of 444521 is 125444.

444521 = 196² + 197² + ... + 206².

It is not a de Polignac number, because 444521 - 2² = 444517 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 444493 and 444502.

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 444521.

It is not an unprimeable number, because it can be changed into a prime (444523) 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, 1646 + ... + 1896.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2⁴⁴⁴⁵²¹ is an apocalyptic number.

It is an amenable number.

444521 is a deficient number, since it is larger than the sum of its proper divisors (136087).

444521 is a wasteful number, since it uses less digits than its factorization.

444521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292.

The product of its digits is 640, while the sum is 20.

The square root of 444521 is about 666.7240808610. The cubic root of 444521 is about 76.3186642971.

Adding to 444521 its reverse (125444), we get a palindrome (569965).

It can be divided in two parts, 4 and 44521, that multiplied together give a square (178084 = 422²).

The spelling of 444521 in words is "four hundred forty-four thousand, five hundred twenty-one".