444479490 has 144 divisors (see below), whose sum is σ = 1447919928. Its totient is φ = 93768192.

The previous prime is 444479473. The next prime is 444479527. The reversal of 444479490 is 94974444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 405579321 + 38900169 = 20139^2 + 6237^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 53454 + ... + 61206.

Almost surely, 2^444479490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444479490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723959964).

444479490 is an abundant number, since it is smaller than the sum of its proper divisors (1003440438).

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

444479490 is a wasteful number, since it uses less digits than its factorization.

444479490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 444479490 is about 21082.6822297354. The cubic root of 444479490 is about 763.1628864150.

The spelling of 444479490 in words is "four hundred forty-four million, four hundred seventy-nine thousand, four hundred ninety".