444420640 has 48 divisors (see below), whose sum is σ = 1105211520. Its totient is φ = 168410880.

The previous prime is 444420637. The next prime is 444420643. The reversal of 444420640 is 46024444.

444420640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (444420637) and next prime (444420643).

It is a super-3 number, since 3×444420640³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444420599 and 444420608.

It is not an unprimeable number, because it can be changed into a prime (444420643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70056 + ... + 76135.

It is an arithmetic number, because the mean of its divisors is an integer number (23025240).

Almost surely, 2^444420640 is an apocalyptic number.

444420640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444420640 is an abundant number, since it is smaller than the sum of its proper divisors (660790880).

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

444420640 is a wasteful number, since it uses less digits than its factorization.

444420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146225 (or 146217 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 444420640 is about 21081.2864882578. The cubic root of 444420640 is about 763.1292034823.

The spelling of 444420640 in words is "four hundred forty-four million, four hundred twenty thousand, six hundred forty".