441214336 has 64 divisors (see below), whose sum is σ = 930215520. Its totient is φ = 208023552.

The previous prime is 441214327. The next prime is 441214349. The reversal of 441214336 is 633412144.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 213886 + ... + 215938.

Almost surely, 2^441214336 is an apocalyptic number.

441214336 is a gapful number since it is divisible by the number (46) 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 441214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465107760).

441214336 is an abundant number, since it is smaller than the sum of its proper divisors (489001184).

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

441214336 is a wasteful number, since it uses less digits than its factorization.

441214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2151 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 441214336 is about 21005.1026181735. The cubic root of 441214336 is about 761.2895558171.

The spelling of 441214336 in words is "four hundred forty-one million, two hundred fourteen thousand, three hundred thirty-six".