442801440 has 216 divisors, whose sum is σ = 1557767484. Its totient is φ = 114508800.

The previous prime is 442801439. The next prime is 442801453. The reversal of 442801440 is 44108244.

It is a happy number.

442801440 is a `hidden beast` number, since 442 + 80 + 144 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 384003216 + 58798224 = 19596^2 + 7668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6236605 + ... + 6236675.

Almost surely, 2^442801440 is an apocalyptic number.

442801440 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 442801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778883742).

442801440 is an abundant number, since it is smaller than the sum of its proper divisors (1114966044).

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

442801440 is a wasteful number, since it uses less digits than its factorization.

442801440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 442801440 is about 21042.8477160293. The cubic root of 442801440 is about 762.2012818961.

Adding to 442801440 its reverse (44108244), we get a palindrome (486909684).

The spelling of 442801440 in words is "four hundred forty-two million, eight hundred one thousand, four hundred forty".