440019216 has 450 divisors, whose sum is σ = 1643320602. Its totient is φ = 113218560.

The previous prime is 440019179. The next prime is 440019221. The reversal of 440019216 is 612910044.

440019216 is a `hidden beast` number, since 440 + 0 + 1 + 9 + 216 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 33593616 + 406425600 = 5796^2 + 20160^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 440019216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 10732156 + ... + 10732196.

Almost surely, 2^440019216 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 440019216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821660301).

440019216 is an abundant number, since it is smaller than the sum of its proper divisors (1203301386).

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

440019216 is a wasteful number, since it uses less digits than its factorization.

440019216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 440019216 is about 20976.6350018300. The cubic root of 440019216 is about 760.6015643448.

The spelling of 440019216 in words is "four hundred forty million, nineteen thousand, two hundred sixteen".