440561664 has 312 divisors, whose sum is σ = 1456687440. Its totient is φ = 127401984.

The previous prime is 440561663. The next prime is 440561689. The reversal of 440561664 is 466165044.

440561664 is a `hidden beast` number, since 440 + 56 + 166 + 4 = 666.

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 (440561663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11907054 + ... + 11907090.

It is an arithmetic number, because the mean of its divisors is an integer number (4668870).

Almost surely, 2^440561664 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 440561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728343720).

440561664 is an abundant number, since it is smaller than the sum of its proper divisors (1016125776).

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

440561664 is a wasteful number, since it uses less digits than its factorization.

440561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 440561664 is about 20989.5608339003. The cubic root of 440561664 is about 760.9139881020.

The spelling of 440561664 in words is "four hundred forty million, five hundred sixty-one thousand, six hundred sixty-four".