440921664 has 224 divisors, whose sum is σ = 1360627200. Its totient is φ = 139898880.

The previous prime is 440921659. The next prime is 440921669. The reversal of 440921664 is 466129044.

It is an interprime number because it is at equal distance from previous prime (440921659) and next prime (440921669).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440921669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4954132 + ... + 4954220.

Almost surely, 2^440921664 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 440921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680313600).

440921664 is an abundant number, since it is smaller than the sum of its proper divisors (919705536).

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

440921664 is a wasteful number, since it uses less digits than its factorization.

440921664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 440921664 is about 20998.1347743079. The cubic root of 440921664 is about 761.1211891057.

The spelling of 440921664 in words is "four hundred forty million, nine hundred twenty-one thousand, six hundred sixty-four".