442355472 has 240 divisors, whose sum is σ = 1410534720. Its totient is φ = 132627456.

The previous prime is 442355449. The next prime is 442355477. The reversal of 442355472 is 274553244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442355477) 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, 5329543 + ... + 5329625.

It is an arithmetic number, because the mean of its divisors is an integer number (5877228).

Almost surely, 2^442355472 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 442355472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705267360).

442355472 is an abundant number, since it is smaller than the sum of its proper divisors (968179248).

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

442355472 is a wasteful number, since it uses less digits than its factorization.

442355472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 442355472 is about 21032.2483819491. The cubic root of 442355472 is about 761.9453119658.

It can be divided in two parts, 4423 and 55472, that added together give a palindrome (59895).

The spelling of 442355472 in words is "four hundred forty-two million, three hundred fifty-five thousand, four hundred seventy-two".