441222144 has 132 divisors (see below), whose sum is σ = 1293736752. Its totient is φ = 133591040.

The previous prime is 441222143. The next prime is 441222169.

441222144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (132).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (441222143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371119 + ... + 372305.

It is an arithmetic number, because the mean of its divisors is an integer number (9801036).

Almost surely, 2^441222144 is an apocalyptic number.

441222144 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 441222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646868376).

441222144 is an abundant number, since it is smaller than the sum of its proper divisors (852514608).

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

441222144 is a wasteful number, since it uses less digits than its factorization.

441222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1203 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 441222144 is about 21005.2884769527. The cubic root of 441222144 is about 761.2940465399.

The spelling of 441222144 in words is "four hundred forty-one million, two hundred twenty-two thousand, one hundred forty-four".