444041280 has 84 divisors (see below), whose sum is σ = 1527326892. Its totient is φ = 118410240.

The previous prime is 444041239. The next prime is 444041281. The reversal of 444041280 is 82140444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 361304064 = 9096^2 + 19008^2 .

It is not an unprimeable number, because it can be changed into a prime (444041281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74211 + ... + 79970.

It is an arithmetic number, because the mean of its divisors is an integer number (18182463).

Almost surely, 2^444041280 is an apocalyptic number.

444041280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444041280 is an abundant number, since it is smaller than the sum of its proper divisors (1083285612).

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

444041280 is a wasteful number, since it uses less digits than its factorization.

444041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154204 (or 154191 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 444041280 is about 21072.2870139907. The cubic root of 444041280 is about 762.9120045190.

The spelling of 444041280 in words is "four hundred forty-four million, forty-one thousand, two hundred eighty".