444400160 has 24 divisors (see below), whose sum is σ = 1049895756. Its totient is φ = 177760000.

The previous prime is 444400157. The next prime is 444400169. The reversal of 444400160 is 61004444.

It can be written as a sum of positive squares in 2 ways, for example, as 409495696 + 34904464 = 20236^2 + 5908^2 .

It is not an unprimeable number, because it can be changed into a prime (444400169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1388591 + ... + 1388910.

Almost surely, 2^444400160 is an apocalyptic number.

444400160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444400160 is an abundant number, since it is smaller than the sum of its proper divisors (605495596).

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

444400160 is a wasteful number, since it uses less digits than its factorization.

444400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777516 (or 2777508 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 444400160 is about 21080.8007438048. The cubic root of 444400160 is about 763.1174810099.

The spelling of 444400160 in words is "four hundred forty-four million, four hundred thousand, one hundred sixty".