444920049 has 48 divisors (see below), whose sum is σ = 757411200. Its totient is φ = 251546400.

The previous prime is 444920041. The next prime is 444920051. The reversal of 444920049 is 940029444.

It is a happy number.

444920049 is a `hidden beast` number, since 4 + 449 + 200 + 4 + 9 = 666.

It is not a de Polignac number, because 444920049 - 2³ = 444920041 is a prime.

It is a super-4 number, since 4×444920049⁴ (a number of 36 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 444919995 and 444920022.

It is not an unprimeable number, because it can be changed into a prime (444920041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311074 + ... + 312500.

It is an arithmetic number, because the mean of its divisors is an integer number (15779400).

Almost surely, 2^444920049 is an apocalyptic number.

444920049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

444920049 is a deficient number, since it is larger than the sum of its proper divisors (312491151).

444920049 is a wasteful number, since it uses less digits than its factorization.

444920049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 444920049 is about 21093.1280041629. The cubic root of 444920049 is about 763.4149469806.

The spelling of 444920049 in words is "four hundred forty-four million, nine hundred twenty thousand, forty-nine".