442843680 has 96 divisors (see below), whose sum is σ = 1440004608. Its totient is φ = 114278400.

The previous prime is 442843613. The next prime is 442843699. The reversal of 442843680 is 86348244.

442843680 is a nontrivial binomial coefficient, being equal to C(29761, 2).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×442843680² = 392221049831884800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 29760.

It is an arithmetic number, because the mean of its divisors is an integer number (15000048).

Almost surely, 2^442843680 is an apocalyptic number.

442843680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

442843680 is the 29760-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442843680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720002304).

442843680 is an abundant number, since it is smaller than the sum of its proper divisors (997160928).

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

442843680 is a wasteful number, since it uses less digits than its factorization.

442843680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29810 (or 29802 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 442843680 is about 21043.8513585323. The cubic root of 442843680 is about 762.2255172573.

The spelling of 442843680 in words is "four hundred forty-two million, eight hundred forty-three thousand, six hundred eighty".