442295376 has 80 divisors (see below), whose sum is σ = 1210785600. Its totient is φ = 138737664.

The previous prime is 442295369. The next prime is 442295389. The reversal of 442295376 is 673592244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141640 + ... + 144728.

It is an arithmetic number, because the mean of its divisors is an integer number (15134820).

Almost surely, 2^442295376 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 442295376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605392800).

442295376 is an abundant number, since it is smaller than the sum of its proper divisors (768490224).

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

442295376 is a wasteful number, since it uses less digits than its factorization.

442295376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3270 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 442295376 is about 21030.8196701888. The cubic root of 442295376 is about 761.9108058261.

The spelling of 442295376 in words is "four hundred forty-two million, two hundred ninety-five thousand, three hundred seventy-six".