320201442 has 48 divisors (see below), whose sum is σ = 768167712. Its totient is φ = 95578560.

The previous prime is 320201419. The next prime is 320201473. The reversal of 320201442 is 244102023.

320201442 is a `hidden beast` number, since 3 + 20 + 201 + 442 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198 + ... + 25334.

It is an arithmetic number, because the mean of its divisors is an integer number (16003494).

Almost surely, 2^320201442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320201442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384083856).

320201442 is an abundant number, since it is smaller than the sum of its proper divisors (447966270).

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

320201442 is a wasteful number, since it uses less digits than its factorization.

320201442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24223 (or 24220 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 320201442 is about 17894.1734092413. The cubic root of 320201442 is about 684.1338739706.

Adding to 320201442 its reverse (244102023), we get a palindrome (564303465).

The spelling of 320201442 in words is "three hundred twenty million, two hundred one thousand, four hundred forty-two".