442331136 has 234 divisors, whose sum is σ = 1403020008. Its totient is φ = 134184960.

The previous prime is 442331129. The next prime is 442331137. The reversal of 442331136 is 631133244.

It is a tau number, because it is divible by the number of its divisors (234).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442331137) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 6229981 + ... + 6230051.

It is an arithmetic number, because the mean of its divisors is an integer number (5995812).

Almost surely, 2^442331136 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 442331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701510004).

442331136 is an abundant number, since it is smaller than the sum of its proper divisors (960688872).

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

442331136 is a wasteful number, since it uses less digits than its factorization.

442331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 442331136 is about 21031.6698338482. The cubic root of 442331136 is about 761.9313390094.

It can be divided in two parts, 44233 and 1136, that added together give a square (45369 = 213²).

The spelling of 442331136 in words is "four hundred forty-two million, three hundred thirty-one thousand, one hundred thirty-six".