444285040 has 40 divisors (see below), whose sum is σ = 1048392720. Its totient is φ = 175059456.

The previous prime is 444285029. The next prime is 444285047. The reversal of 444285040 is 40582444.

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 = 444284993 and 444285011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444285047) 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, 36085 + ... + 46804.

It is an arithmetic number, because the mean of its divisors is an integer number (26209818).

Almost surely, 2^444285040 is an apocalyptic number.

444285040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444285040 is an abundant number, since it is smaller than the sum of its proper divisors (604107680).

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

444285040 is a wasteful number, since it uses less digits than its factorization.

444285040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82969 (or 82963 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 444285040 is about 21078.0701203882. The cubic root of 444285040 is about 763.0515811902.

The spelling of 444285040 in words is "four hundred forty-four million, two hundred eighty-five thousand, forty".