442000240 has 80 divisors (see below), whose sum is σ = 1132400736. Its totient is φ = 159104000.

The previous prime is 442000219. The next prime is 442000243. The reversal of 442000240 is 42000244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442000243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86394 + ... + 91366.

Almost surely, 2^442000240 is an apocalyptic number.

442000240 is a gapful number since it is divisible by the number (40) 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 442000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566200368).

442000240 is an abundant number, since it is smaller than the sum of its proper divisors (690400496).

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

442000240 is a wasteful number, since it uses less digits than its factorization.

442000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 442000240 is about 21023.8017494458. The cubic root of 442000240 is about 761.7412981810.

Adding to 442000240 its reverse (42000244), we get a palindrome (484000484).

The spelling of 442000240 in words is "four hundred forty-two million, two hundred forty", and thus it is an aban number.