442214440 has 32 divisors (see below), whose sum is σ = 1011852000. Its totient is φ = 173886784.

The previous prime is 442214431. The next prime is 442214449. The reversal of 442214440 is 44412244.

It is an interprime number because it is at equal distance from previous prime (442214431) and next prime (442214449).

It is a super-2 number, since 2×442214440² = 391107221889027200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442214449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91330 + ... + 96049.

It is an arithmetic number, because the mean of its divisors is an integer number (31620375).

Almost surely, 2^442214440 is an apocalyptic number.

442214440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442214440 is an abundant number, since it is smaller than the sum of its proper divisors (569637560).

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

442214440 is a wasteful number, since it uses less digits than its factorization.

442214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187449 (or 187445 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 442214440 is about 21028.8953585299. The cubic root of 442214440 is about 761.8643287596.

Adding to 442214440 its reverse (44412244), we get a palindrome (486626684).

The spelling of 442214440 in words is "four hundred forty-two million, two hundred fourteen thousand, four hundred forty".