442999872 has 336 divisors, whose sum is σ = 1609051392. Its totient is φ = 113541120.

The previous prime is 442999867. The next prime is 442999891. The reversal of 442999872 is 278999244.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576372 + ... + 1576652.

Almost surely, 2^442999872 is an apocalyptic number.

442999872 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 442999872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804525696).

442999872 is an abundant number, since it is smaller than the sum of its proper divisors (1166051520).

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

442999872 is a wasteful number, since it uses less digits than its factorization.

442999872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 442999872 is about 21047.5621391172. The cubic root of 442999872 is about 762.3151196304.

The spelling of 442999872 in words is "four hundred forty-two million, nine hundred ninety-nine thousand, eight hundred seventy-two".