444893840 has 40 divisors (see below), whose sum is σ = 1036983480. Its totient is φ = 177509376.

The previous prime is 444893833. The next prime is 444893879. The reversal of 444893840 is 48398444.

It can be written as a sum of positive squares in 4 ways, for example, as 45373696 + 399520144 = 6736^2 + 19988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 444893791 and 444893800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25922 + ... + 39518.

It is an arithmetic number, because the mean of its divisors is an integer number (25924587).

Almost surely, 2^444893840 is an apocalyptic number.

444893840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444893840 is an abundant number, since it is smaller than the sum of its proper divisors (592089640).

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

444893840 is a wasteful number, since it uses less digits than its factorization.

444893840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14019 (or 14013 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The square root of 444893840 is about 21092.5067263235. The cubic root of 444893840 is about 763.3999564707.

The spelling of 444893840 in words is "four hundred forty-four million, eight hundred ninety-three thousand, eight hundred forty".