442223496 has 256 divisors, whose sum is σ = 1467648000. Its totient is φ = 121616640.

The previous prime is 442223473. The next prime is 442223497. The reversal of 442223496 is 694322244.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 442223496.

It is not an unprimeable number, because it can be changed into a prime (442223497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3181395 + ... + 3181533.

It is an arithmetic number, because the mean of its divisors is an integer number (5733000).

Almost surely, 2^442223496 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 442223496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824000).

442223496 is an abundant number, since it is smaller than the sum of its proper divisors (1025424504).

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

442223496 is a wasteful number, since it uses less digits than its factorization.

442223496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 442223496 is about 21029.1106801976. The cubic root of 442223496 is about 761.8695294010.

The spelling of 442223496 in words is "four hundred forty-two million, two hundred twenty-three thousand, four hundred ninety-six".