442014240 has 48 divisors (see below), whose sum is σ = 1392346368. Its totient is φ = 117870336.

The previous prime is 442014239. The next prime is 442014241. The reversal of 442014240 is 42410244.

It is an interprime number because it is at equal distance from previous prime (442014239) and next prime (442014241).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (442014241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459952 + ... + 460911.

It is an arithmetic number, because the mean of its divisors is an integer number (29007216).

Almost surely, 2^442014240 is an apocalyptic number.

442014240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442014240 is an abundant number, since it is smaller than the sum of its proper divisors (950332128).

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

442014240 is a wasteful number, since it uses less digits than its factorization.

442014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920881 (or 920873 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 442014240 is about 21024.1347027648. The cubic root of 442014240 is about 761.7493406092.

Adding to 442014240 its reverse (42410244), we get a palindrome (484424484).

The spelling of 442014240 in words is "four hundred forty-two million, fourteen thousand, two hundred forty".