442288896 has 288 divisors, whose sum is σ = 1452057600. Its totient is φ = 119218176.

The previous prime is 442288867. The next prime is 442288907. The reversal of 442288896 is 698882244.

Its product of digits (1769472) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6058716 + ... + 6058788.

Almost surely, 2^442288896 is an apocalyptic number.

442288896 is a gapful number since it is divisible by the number (46) 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 442288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726028800).

442288896 is an abundant number, since it is smaller than the sum of its proper divisors (1009768704).

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

442288896 is an equidigital number, since it uses as much as digits as its factorization.

442288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 442288896 is about 21030.6656100086. The cubic root of 442288896 is about 761.9070849294.

The spelling of 442288896 in words is "four hundred forty-two million, two hundred eighty-eight thousand, eight hundred ninety-six".