441219168 has 144 divisors (see below), whose sum is σ = 1360509696. Its totient is φ = 134830080.

The previous prime is 441219113. The next prime is 441219199. The reversal of 441219168 is 861912144.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×441219168² = 389348708421224448, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714796 + ... + 715412.

It is an arithmetic number, because the mean of its divisors is an integer number (9447984).

Almost surely, 2^441219168 is an apocalyptic number.

441219168 is a gapful number since it is divisible by the number (48) 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 441219168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680254848).

441219168 is an abundant number, since it is smaller than the sum of its proper divisors (919290528).

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

441219168 is a wasteful number, since it uses less digits than its factorization.

441219168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 826 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 441219168 is about 21005.2176375300. The cubic root of 441219168 is about 761.2923349182.

The spelling of 441219168 in words is "four hundred forty-one million, two hundred nineteen thousand, one hundred sixty-eight".