442391220 has 144 divisors (see below), whose sum is σ = 1401236928. Its totient is φ = 117158400.

The previous prime is 442391207. The next prime is 442391227. The reversal of 442391220 is 22193244.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442391227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103020 + ... + 1103420.

It is an arithmetic number, because the mean of its divisors is an integer number (9730812).

Almost surely, 2^442391220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442391220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700618464).

442391220 is an abundant number, since it is smaller than the sum of its proper divisors (958845708).

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

442391220 is a wasteful number, since it uses less digits than its factorization.

442391220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 442391220 is about 21033.0982025949. The cubic root of 442391220 is about 761.9658364000.

The spelling of 442391220 in words is "four hundred forty-two million, three hundred ninety-one thousand, two hundred twenty".