444006401 has 6 divisors (see below), whose sum is σ = 456332310. Its totient is φ = 432004896.

The previous prime is 444006389. The next prime is 444006413. The reversal of 444006401 is 104600444.

It is an interprime number because it is at equal distance from previous prime (444006389) and next prime (444006413).

It can be written as a sum of positive squares in 3 ways, for example, as 299982400 + 144024001 = 17320^2 + 12001^2 .

It is not a de Polignac number, because 444006401 - 2⁶ = 444006337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444006001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 160796 + ... + 163533.

It is an arithmetic number, because the mean of its divisors is an integer number (76055385).

It is a Proth number, since it is equal to 6775 ⋅ 2¹⁶ + 1 and 6775 < 2¹⁶.

Almost surely, 2^444006401 is an apocalyptic number.

It is an amenable number.

444006401 is a deficient number, since it is larger than the sum of its proper divisors (12325909).

444006401 is an equidigital number, since it uses as much as digits as its factorization.

444006401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324403 (or 324366 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 444006401 is about 21071.4593941663. The cubic root of 444006401 is about 762.8920286701.

Adding to 444006401 its reverse (104600444), we get a palindrome (548606845).

The spelling of 444006401 in words is "four hundred forty-four million, six thousand, four hundred one".