442140768 has 60 divisors (see below), whose sum is σ = 1300331340. Its totient is φ = 147379392.

The previous prime is 442140763. The next prime is 442140781. The reversal of 442140768 is 867041244.

442140768 is a `hidden beast` number, since 442 + 140 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442140763) 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 9 ways as a sum of consecutive naturals, for example, 82698 + ... + 87881.

It is an arithmetic number, because the mean of its divisors is an integer number (21672189).

Almost surely, 2^442140768 is an apocalyptic number.

442140768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

442140768 is an abundant number, since it is smaller than the sum of its proper divisors (858190572).

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

442140768 is a wasteful number, since it uses less digits than its factorization.

442140768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170601 (or 170584 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 442140768 is about 21027.1436005940. The cubic root of 442140768 is about 761.8220180757.

The spelling of 442140768 in words is "four hundred forty-two million, one hundred forty thousand, seven hundred sixty-eight".