200042400 has 144 divisors (see below), whose sum is σ = 689580864. Its totient is φ = 50196480.

The previous prime is 200042357. The next prime is 200042419. The reversal of 200042400 is 4240002.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38349 + ... + 43251.

It is an arithmetic number, because the mean of its divisors is an integer number (4788756).

Almost surely, 2^200042400 is an apocalyptic number.

200042400 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 200042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344790432).

200042400 is an abundant number, since it is smaller than the sum of its proper divisors (489538464).

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

200042400 is a wasteful number, since it uses less digits than its factorization.

200042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4930 counting only the distinct ones).

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

The square root of 200042400 is about 14143.6346106650. The cubic root of 200042400 is about 584.8448708399.

Adding to 200042400 its reverse (4240002), we get a palindrome (204282402).

The spelling of 200042400 in words is "two hundred million, forty-two thousand, four hundred".