444607146 has 48 divisors (see below), whose sum is σ = 997371648. Its totient is φ = 142992000.

The previous prime is 444607117. The next prime is 444607187. The reversal of 444607146 is 641706444.

444607146 is a `hidden beast` number, since 4 + 4 + 4 + 607 + 1 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 444607146.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 222765 + ... + 224751.

It is an arithmetic number, because the mean of its divisors is an integer number (20778576).

Almost surely, 2^444607146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444607146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498685824).

444607146 is an abundant number, since it is smaller than the sum of its proper divisors (552764502).

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

444607146 is a wasteful number, since it uses less digits than its factorization.

444607146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 444607146 is about 21085.7095209054. The cubic root of 444607146 is about 763.2359404017.

The spelling of 444607146 in words is "four hundred forty-four million, six hundred seven thousand, one hundred forty-six".