442131088 has 80 divisors (see below), whose sum is σ = 1005042816. Its totient is φ = 184504320.

The previous prime is 442131043. The next prime is 442131089. The reversal of 442131088 is 880131244.

It is not an unprimeable number, because it can be changed into a prime (442131089) 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, 1252320 + ... + 1252672.

Almost surely, 2^442131088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442131088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502521408).

442131088 is an abundant number, since it is smaller than the sum of its proper divisors (562911728).

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

442131088 is a wasteful number, since it uses less digits than its factorization.

442131088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 442131088 is about 21026.9134206616. The cubic root of 442131088 is about 761.8164583902.

The spelling of 442131088 in words is "four hundred forty-two million, one hundred thirty-one thousand, eighty-eight".