444034305 has 240 divisors, whose sum is σ = 1021969872. Its totient is φ = 182476800.

The previous prime is 444034303. The next prime is 444034307. The reversal of 444034305 is 503430444.

It is an interprime number because it is at equal distance from previous prime (444034303) and next prime (444034307).

It can be written as a sum of positive squares in 8 ways, for example, as 67519089 + 376515216 = 8217^2 + 19404^2 .

It is not a de Polignac number, because 444034305 - 2¹ = 444034303 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (444034301) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10830085 + ... + 10830125.

Almost surely, 2^444034305 is an apocalyptic number.

444034305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444034305 is an abundant number, since it is smaller than the sum of its proper divisors (577935567).

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

444034305 is a wasteful number, since it uses less digits than its factorization.

444034305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 444034305 is about 21072.1215116086. The cubic root of 444034305 is about 762.9080098911.

Adding to 444034305 its reverse (503430444), we get a palindrome (947464749).

The spelling of 444034305 in words is "four hundred forty-four million, thirty-four thousand, three hundred five".