440218944 has 336 divisors, whose sum is σ = 1503493056. Its totient is φ = 121651200.

The previous prime is 440218943. The next prime is 440218991. The reversal of 440218944 is 449812044.

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

It is a junction number, because it is equal to n+sod(n) for n = 440218899 and 440218908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440218943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6570399 + ... + 6570465.

Almost surely, 2^440218944 is an apocalyptic number.

440218944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440218944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751746528).

440218944 is an abundant number, since it is smaller than the sum of its proper divisors (1063274112).

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

440218944 is a wasteful number, since it uses less digits than its factorization.

440218944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 440218944 is about 20981.3951871652. The cubic root of 440218944 is about 760.7166278425.

The spelling of 440218944 in words is "four hundred forty million, two hundred eighteen thousand, nine hundred forty-four".