441466368 has 160 divisors (see below), whose sum is σ = 1415504640. Its totient is φ = 119439360.

The previous prime is 441466367. The next prime is 441466373. The reversal of 441466368 is 863664144.

It is a happy number.

It is a super-2 number, since 2×441466368² = 389785108150222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441466367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203208 + ... + 205368.

It is an arithmetic number, because the mean of its divisors is an integer number (8846904).

Almost surely, 2^441466368 is an apocalyptic number.

441466368 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 441466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707752320).

441466368 is an abundant number, since it is smaller than the sum of its proper divisors (974038272).

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

441466368 is a wasteful number, since it uses less digits than its factorization.

441466368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2192 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 441466368 is about 21011.1010658652. The cubic root of 441466368 is about 761.4344837217.

The spelling of 441466368 in words is "four hundred forty-one million, four hundred sixty-six thousand, three hundred sixty-eight".