442489600 has 324 divisors, whose sum is σ = 1365240744. Its totient is φ = 141066240.

The previous prime is 442489591. The next prime is 442489609. The reversal of 442489600 is 6984244.

It is an interprime number because it is at equal distance from previous prime (442489591) and next prime (442489609).

It is a super-2 number, since 2×442489600² = 391594092216320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442489600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442489609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5331159 + ... + 5331241.

It is an arithmetic number, because the mean of its divisors is an integer number (4213706).

Almost surely, 2^442489600 is an apocalyptic number.

442489600 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 442489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682620372).

442489600 is an abundant number, since it is smaller than the sum of its proper divisors (922751144).

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

442489600 is a wasteful number, since it uses less digits than its factorization.

442489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 442489600 is about 21035.4367675121. The cubic root of 442489600 is about 762.0223147986.

The spelling of 442489600 in words is "four hundred forty-two million, four hundred eighty-nine thousand, six hundred".