384020442 has 48 divisors (see below), whose sum is σ = 908362728. Its totient is φ = 116536320.

The previous prime is 384020431. The next prime is 384020459. The reversal of 384020442 is 244020483.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 168194961 + 215825481 = 12969^2 + 14691^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5842 + ... + 28322.

Almost surely, 2^384020442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384020442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454181364).

384020442 is an abundant number, since it is smaller than the sum of its proper divisors (524342286).

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

384020442 is a wasteful number, since it uses less digits than its factorization.

384020442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22575 (or 22572 counting only the distinct ones).

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

The square root of 384020442 is about 19596.4395235461. The cubic root of 384020442 is about 726.8611346745.

The spelling of 384020442 in words is "three hundred eighty-four million, twenty thousand, four hundred forty-two".