440666406 has 48 divisors (see below), whose sum is σ = 992291664. Its totient is φ = 146569824.

The previous prime is 440666383. The next prime is 440666419. The reversal of 440666406 is 604666044.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355620 + ... + 356856.

It is an arithmetic number, because the mean of its divisors is an integer number (20672743).

Almost surely, 2^440666406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440666406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496145832).

440666406 is an abundant number, since it is smaller than the sum of its proper divisors (551625258).

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

440666406 is a wasteful number, since it uses less digits than its factorization.

440666406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 440666406 is about 20992.0557830814. The cubic root of 440666406 is about 760.9742848733.

The spelling of 440666406 in words is "four hundred forty million, six hundred sixty-six thousand, four hundred six".