442454144 has 32 divisors (see below), whose sum is σ = 961586640. Its totient is φ = 201114880.

The previous prime is 442454143. The next prime is 442454149. The reversal of 442454144 is 441454244.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 442454144.

It is not an unprimeable number, because it can be changed into a prime (442454143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155714 + ... + 158529.

Almost surely, 2^442454144 is an apocalyptic number.

442454144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442454144 is an abundant number, since it is smaller than the sum of its proper divisors (519132496).

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

442454144 is a wasteful number, since it uses less digits than its factorization.

442454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314268 (or 314256 counting only the distinct ones).

The product of its digits is 40960, while the sum is 32.

The square root of 442454144 is about 21034.5939822950. The cubic root of 442454144 is about 762.0019610359.

The spelling of 442454144 in words is "four hundred forty-two million, four hundred fifty-four thousand, one hundred forty-four".