442133420 has 96 divisors (see below), whose sum is σ = 1031486400. Its totient is φ = 158505984.

The previous prime is 442133413. The next prime is 442133423. The reversal of 442133420 is 24331244.

It is a super-2 number, since 2×442133420² = 390963922161792800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442133423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583682 + ... + 584438.

It is an arithmetic number, because the mean of its divisors is an integer number (10744650).

Almost surely, 2^442133420 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 442133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515743200).

442133420 is an abundant number, since it is smaller than the sum of its proper divisors (589352980).

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

442133420 is a wasteful number, since it uses less digits than its factorization.

442133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 442133420 is about 21026.9688733303. The cubic root of 442133420 is about 761.8177977764.

Adding to 442133420 its reverse (24331244), we get a palindrome (466464664).

The spelling of 442133420 in words is "four hundred forty-two million, one hundred thirty-three thousand, four hundred twenty".