444778047 has 50 divisors (see below), whose sum is σ = 775451248. Its totient is φ = 254047752.

The previous prime is 444778039. The next prime is 444778051. The reversal of 444778047 is 740877444.

It is not a de Polignac number, because 444778047 - 2³ = 444778039 is a prime.

It is a super-2 number, since 2×444778047² = 395655022186268418, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444777993 and 444778011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444778027) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 193338 + ... + 195624.

Almost surely, 2^444778047 is an apocalyptic number.

444778047 is a deficient number, since it is larger than the sum of its proper divisors (330673201).

444778047 is an frugal number, since it uses more digits than its factorization.

444778047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The square root of 444778047 is about 21089.7616629492. The cubic root of 444778047 is about 763.3337204136. Note that the first 3 decimals are identical.

The spelling of 444778047 in words is "four hundred forty-four million, seven hundred seventy-eight thousand, forty-seven".