442147200 has 384 divisors, whose sum is σ = 1639180800. Its totient is φ = 103833600.

The previous prime is 442147187. The next prime is 442147201. The reversal of 442147200 is 2741244.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442147201) 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 47 ways as a sum of consecutive naturals, for example, 5596761 + ... + 5596839.

It is an arithmetic number, because the mean of its divisors is an integer number (4268700).

Almost surely, 2^442147200 is an apocalyptic number.

442147200 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 442147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819590400).

442147200 is an abundant number, since it is smaller than the sum of its proper divisors (1197033600).

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

442147200 is a wasteful number, since it uses less digits than its factorization.

442147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 442147200 is about 21027.2965452052. The cubic root of 442147200 is about 761.8257122352.

Adding to 442147200 its reverse (2741244), we get a palindrome (444888444).

The spelling of 442147200 in words is "four hundred forty-two million, one hundred forty-seven thousand, two hundred".