442382864 has 80 divisors (see below), whose sum is σ = 1076823936. Its totient is φ = 171033600.

The previous prime is 442382861. The next prime is 442382867. The reversal of 442382864 is 468283244.

It is an interprime number because it is at equal distance from previous prime (442382861) and next prime (442382867).

It is a super-3 number, since 3×442382864³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (442382861) by changing a digit.

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, 167474 + ... + 170094.

Almost surely, 2^442382864 is an apocalyptic number.

442382864 is a gapful number since it is divisible by the number (44) 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 442382864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538411968).

442382864 is an abundant number, since it is smaller than the sum of its proper divisors (634441072).

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

442382864 is a wasteful number, since it uses less digits than its factorization.

442382864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2778 counting only the distinct ones).

The product of its digits is 294912, while the sum is 41.

The square root of 442382864 is about 21032.8995623523. The cubic root of 442382864 is about 761.9610389671.

The spelling of 442382864 in words is "four hundred forty-two million, three hundred eighty-two thousand, eight hundred sixty-four".