442844248 has 128 divisors (see below), whose sum is σ = 1101196800. Its totient is φ = 161740800.

The previous prime is 442844179. The next prime is 442844249. The reversal of 442844248 is 842448244.

It is a super-2 number, since 2×442844248² = 392222055973371008, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 442844248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442844249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837408 + ... + 1837648.

It is an arithmetic number, because the mean of its divisors is an integer number (8603100).

Almost surely, 2^442844248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442844248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550598400).

442844248 is an abundant number, since it is smaller than the sum of its proper divisors (658352552).

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

442844248 is a wasteful number, since it uses less digits than its factorization.

442844248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its digits is 262144, while the sum is 40.

The square root of 442844248 is about 21043.8648541564. The cubic root of 442844248 is about 762.2258431390.

The spelling of 442844248 in words is "four hundred forty-two million, eight hundred forty-four thousand, two hundred forty-eight".