442249600 has 96 divisors (see below), whose sum is σ = 1176643440. Its totient is φ = 163276800.

The previous prime is 442249597. The next prime is 442249607. The reversal of 442249600 is 6942244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442249607) 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 11 ways as a sum of consecutive naturals, for example, 36285 + ... + 46915.

Almost surely, 2^442249600 is an apocalyptic number.

442249600 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 442249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588321720).

442249600 is an abundant number, since it is smaller than the sum of its proper divisors (734393840).

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

442249600 is a wasteful number, since it uses less digits than its factorization.

442249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10668 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 442249600 is about 21029.7313344703. The cubic root of 442249600 is about 761.8845198987.

It can be divided in two parts, 44224 and 9600, that added together give a square (53824 = 232²).

The spelling of 442249600 in words is "four hundred forty-two million, two hundred forty-nine thousand, six hundred".