446989644 has 96 divisors (see below), whose sum is σ = 1227072000. Its totient is φ = 140470848.

The previous prime is 446989633. The next prime is 446989657.

It is a happy number.

446989644 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133017 + ... + 136335.

It is an arithmetic number, because the mean of its divisors is an integer number (12782000).

Almost surely, 2^446989644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446989644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613536000).

446989644 is an abundant number, since it is smaller than the sum of its proper divisors (780082356).

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

446989644 is a wasteful number, since it uses less digits than its factorization.

446989644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3396 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 446989644 is about 21142.1295994514. The cubic root of 446989644 is about 764.5968194585.

The spelling of 446989644 in words is "four hundred forty-six million, nine hundred eighty-nine thousand, six hundred forty-four".