442731072 has 84 divisors (see below), whose sum is σ = 1362669360. Its totient is φ = 126491904.

The previous prime is 442731059. The next prime is 442731097. The reversal of 442731072 is 270137244.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×442731072² = 392021604228538368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14122 + ... + 32937.

Almost surely, 2^442731072 is an apocalyptic number.

442731072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442731072 is an abundant number, since it is smaller than the sum of its proper divisors (919938288).

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

442731072 is a wasteful number, since it uses less digits than its factorization.

442731072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47088 (or 47071 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 442731072 is about 21041.1756325544. The cubic root of 442731072 is about 762.1609045650.

The spelling of 442731072 in words is "four hundred forty-two million, seven hundred thirty-one thousand, seventy-two".