441282144 has 48 divisors (see below), whose sum is σ = 1219337280. Its totient is φ = 139351680.

The previous prime is 441282137. The next prime is 441282151.

441282144 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (441282137) and next prime (441282151).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×441282144² = 389459861226473472, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 119142 + ... + 122789.

It is an arithmetic number, because the mean of its divisors is an integer number (25402860).

Almost surely, 2^441282144 is an apocalyptic number.

It is an amenable number.

441282144 is an abundant number, since it is smaller than the sum of its proper divisors (778055136).

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

441282144 is a wasteful number, since it uses less digits than its factorization.

441282144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241963 (or 241955 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 441282144 is about 21006.7166401606. The cubic root of 441282144 is about 761.3285534000.

The spelling of 441282144 in words is "four hundred forty-one million, two hundred eighty-two thousand, one hundred forty-four".