442401102 has 160 divisors (see below), whose sum is σ = 1181869920. Its totient is φ = 122653440.

The previous prime is 442401101. The next prime is 442401103. The reversal of 442401102 is 201104244.

It is an interprime number because it is at equal distance from previous prime (442401101) and next prime (442401103).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442401101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3914998 + ... + 3915110.

It is an arithmetic number, because the mean of its divisors is an integer number (7386687).

Almost surely, 2^442401102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442401102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590934960).

442401102 is an abundant number, since it is smaller than the sum of its proper divisors (739468818).

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

442401102 is a wasteful number, since it uses less digits than its factorization.

442401102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 442401102 is about 21033.3331167459. Note that the first 3 decimals coincide. The cubic root of 442401102 is about 761.9715098778.

Adding to 442401102 its reverse (201104244), we get a palindrome (643505346).

The spelling of 442401102 in words is "four hundred forty-two million, four hundred one thousand, one hundred two".