200442000 has 160 divisors (see below), whose sum is σ = 705204864. Its totient is φ = 48576000.

The previous prime is 200441993. The next prime is 200442037. The reversal of 200442000 is 244002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 64482 + ... + 67518.

Almost surely, 2^200442000 is an apocalyptic number.

200442000 is a gapful number since it is divisible by the number (20) 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 200442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352602432).

200442000 is an abundant number, since it is smaller than the sum of its proper divisors (504762864).

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

200442000 is a wasteful number, since it uses less digits than its factorization.

200442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 200442000 is about 14157.7540591720. The cubic root of 200442000 is about 585.2340359519.

Adding to 200442000 its reverse (244002), we get a palindrome (200686002).

The spelling of 200442000 in words is "two hundred million, four hundred forty-two thousand".