442401642 has 96 divisors (see below), whose sum is σ = 1089365760. Its totient is φ = 132612480.

The previous prime is 442401629. The next prime is 442401677. The reversal of 442401642 is 246104244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485167 + ... + 486077.

It is an arithmetic number, because the mean of its divisors is an integer number (11347560).

Almost surely, 2^442401642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442401642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544682880).

442401642 is an abundant number, since it is smaller than the sum of its proper divisors (646964118).

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

442401642 is a wasteful number, since it uses less digits than its factorization.

442401642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 442401642 is about 21033.3459535092. The cubic root of 442401642 is about 761.9718199015.

Adding to 442401642 its reverse (246104244), we get a palindrome (688505886).

The spelling of 442401642 in words is "four hundred forty-two million, four hundred one thousand, six hundred forty-two".