442248912 has 180 divisors, whose sum is σ = 1451307780. Its totient is φ = 125346816.

The previous prime is 442248893. The next prime is 442248929. The reversal of 442248912 is 219842244.

It can be written as a sum of positive squares in 2 ways, for example, as 55890576 + 386358336 = 7476^2 + 19656^2 .

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1643914 + ... + 1644182.

It is an arithmetic number, because the mean of its divisors is an integer number (8062821).

Almost surely, 2^442248912 is an apocalyptic number.

442248912 is a gapful number since it is divisible by the number (42) 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 442248912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725653890).

442248912 is an abundant number, since it is smaller than the sum of its proper divisors (1009058868).

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

442248912 is a wasteful number, since it uses less digits than its factorization.

442248912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 514 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 442248912 is about 21029.7149766705. The cubic root of 442248912 is about 761.8841248150.

The spelling of 442248912 in words is "four hundred forty-two million, two hundred forty-eight thousand, nine hundred twelve".