442830240 has 240 divisors, whose sum is σ = 1598268672. Its totient is φ = 115416576.

The previous prime is 442830239. The next prime is 442830251. The reversal of 442830240 is 42038244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 608757 + ... + 609483.

Almost surely, 2^442830240 is an apocalyptic number.

442830240 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 442830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799134336).

442830240 is an abundant number, since it is smaller than the sum of its proper divisors (1155438432).

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

442830240 is a wasteful number, since it uses less digits than its factorization.

442830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 442830240 is about 21043.5320229281. The cubic root of 442830240 is about 762.2178061732.

Adding to 442830240 its reverse (42038244), we get a palindrome (484868484).

The spelling of 442830240 in words is "four hundred forty-two million, eight hundred thirty thousand, two hundred forty".