442311320 has 128 divisors (see below), whose sum is σ = 1130241600. Its totient is φ = 154368000.

The previous prime is 442311301. The next prime is 442311361. The reversal of 442311320 is 23113244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 442311292 and 442311301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644146 + ... + 1644414.

Almost surely, 2^442311320 is an apocalyptic number.

442311320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565120800).

442311320 is an abundant number, since it is smaller than the sum of its proper divisors (687930280).

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

442311320 is a wasteful number, since it uses less digits than its factorization.

442311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 442311320 is about 21031.1987295066. The cubic root of 442311320 is about 761.9199609146.

Adding to 442311320 its reverse (23113244), we get a palindrome (465424564).

It can be divided in two parts, 4 and 42311320, that added together give a palindrome (42311324).

The spelling of 442311320 in words is "four hundred forty-two million, three hundred eleven thousand, three hundred twenty".