442130000 has 200 divisors, whose sum is σ = 1220234400. Its totient is φ = 153792000.

The previous prime is 442129979. The next prime is 442130021. The reversal of 442130000 is 31244.

It is an interprime number because it is at equal distance from previous prime (442129979) and next prime (442130021).

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2469911 + ... + 2470089.

It is an arithmetic number, because the mean of its divisors is an integer number (6101172).

Almost surely, 2^442130000 is an apocalyptic number.

442130000 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 442130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610117200).

442130000 is an abundant number, since it is smaller than the sum of its proper divisors (778104400).

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

442130000 is a wasteful number, since it uses less digits than its factorization.

442130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 442130000 is about 21026.8875490406. The cubic root of 442130000 is about 761.8158334948.

Adding to 442130000 its reverse (31244), we get a palindrome (442161244).

The spelling of 442130000 in words is "four hundred forty-two million, one hundred thirty thousand".