444353121 has 20 divisors (see below), whose sum is σ = 679981764. Its totient is φ = 289008000.

The previous prime is 444353111. The next prime is 444353197. The reversal of 444353121 is 121353444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 242144721 + 202208400 = 15561^2 + 14220^2 .

It is not a de Polignac number, because 444353121 - 2¹⁷ = 444222049 is a prime.

It is a super-2 number, since 2×444353121² = 394899392284881282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (444353111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63580 + ... + 70221.

Almost surely, 2^444353121 is an apocalyptic number.

444353121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

444353121 is a deficient number, since it is larger than the sum of its proper divisors (235628643).

444353121 is a wasteful number, since it uses less digits than its factorization.

444353121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133854 (or 133845 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 444353121 is about 21079.6850308538. The cubic root of 444353121 is about 763.0905551646.

The spelling of 444353121 in words is "four hundred forty-four million, three hundred fifty-three thousand, one hundred twenty-one".