442413240 has 128 divisors (see below), whose sum is σ = 1375799040. Its totient is φ = 113734656.

The previous prime is 442413199. The next prime is 442413269. The reversal of 442413240 is 42314244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 442413240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427764 + ... + 428796.

It is an arithmetic number, because the mean of its divisors is an integer number (10748430).

Almost surely, 2^442413240 is an apocalyptic number.

442413240 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 442413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687899520).

442413240 is an abundant number, since it is smaller than the sum of its proper divisors (933385800).

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

442413240 is a wasteful number, since it uses less digits than its factorization.

442413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 442413240 is about 21033.6216567666. The cubic root of 442413240 is about 761.9784784602.

Adding to 442413240 its reverse (42314244), we get a palindrome (484727484).

The spelling of 442413240 in words is "four hundred forty-two million, four hundred thirteen thousand, two hundred forty".