442912128 has 128 divisors (see below), whose sum is σ = 1257292800. Its totient is φ = 137840640.

The previous prime is 442912121. The next prime is 442912133. The reversal of 442912128 is 821219244.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442912121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344575 + ... + 345857.

It is an arithmetic number, because the mean of its divisors is an integer number (9822600).

Almost surely, 2^442912128 is an apocalyptic number.

442912128 is a gapful number since it is divisible by the number (48) 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 442912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628646400).

442912128 is an abundant number, since it is smaller than the sum of its proper divisors (814380672).

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

442912128 is a wasteful number, since it uses less digits than its factorization.

442912128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1348 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 442912128 is about 21045.4776139673. The cubic root of 442912128 is about 762.2647862867.

The spelling of 442912128 in words is "four hundred forty-two million, nine hundred twelve thousand, one hundred twenty-eight".