1446889444 has 243 divisors, whose sum is σ = 3699990441. Its totient is φ = 492972480.

The previous prime is 1446889427. The next prime is 1446889459. The reversal of 1446889444 is 4449886441.

It is a happy number.

The square root of 1446889444 is 38038.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 214036900 + 1232852544 = 14630^2 + 35112^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1446889391 and 1446889400.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 76152067 + ... + 76152085.

Almost surely, 2^1446889444 is an apocalyptic number.

1446889444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1446889444 is the 38038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1446889444

1446889444 is an abundant number, since it is smaller than the sum of its proper divisors (2253100997).

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

1446889444 is a wasteful number, since it uses less digits than its factorization.

1446889444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 52.

The cubic root of 1446889444 is about 1131.0412633027.

The spelling of 1446889444 in words is "one billion, four hundred forty-six million, eight hundred eighty-nine thousand, four hundred forty-four".