200142400 has 84 divisors (see below), whose sum is σ = 500093488. Its totient is φ = 78819840.

The previous prime is 200142367. The next prime is 200142401. The reversal of 200142400 is 4241002.

It is not an unprimeable number, because it can be changed into a prime (200142401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106267 + ... + 108133.

Almost surely, 2^200142400 is an apocalyptic number.

200142400 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 200142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250046744).

200142400 is an abundant number, since it is smaller than the sum of its proper divisors (299951088).

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

200142400 is a wasteful number, since it uses less digits than its factorization.

200142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 200142400 is about 14147.1693281730. The cubic root of 200142400 is about 584.9423080906.

Adding to 200142400 its reverse (4241002), we get a palindrome (204383402).

The spelling of 200142400 in words is "two hundred million, one hundred forty-two thousand, four hundred".