442255968 has 432 divisors, whose sum is σ = 1655690400. Its totient is φ = 111767040.

The previous prime is 442255963. The next prime is 442255981. The reversal of 442255968 is 869552244.

Its product of digits (691200) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442255963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11952846 + ... + 11952882.

Almost surely, 2^442255968 is an apocalyptic number.

442255968 is a gapful number since it is divisible by the number (48) 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 442255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827845200).

442255968 is an abundant number, since it is smaller than the sum of its proper divisors (1213434432).

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

442255968 is a wasteful number, since it uses less digits than its factorization.

442255968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 442255968 is about 21029.8827386174. The cubic root of 442255968 is about 761.8881767005. Note that the first 3 decimals are identical.

The spelling of 442255968 in words is "four hundred forty-two million, two hundred fifty-five thousand, nine hundred sixty-eight".