200906400 has 144 divisors (see below), whose sum is σ = 661457664. Its totient is φ = 52961280.

The previous prime is 200906389. The next prime is 200906413. The reversal of 200906400 is 4609002.

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, 232369 + ... + 233231.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456).

Almost surely, 2^200906400 is an apocalyptic number.

200906400 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 200906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330728832).

200906400 is an abundant number, since it is smaller than the sum of its proper divisors (460551264).

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

200906400 is a wasteful number, since it uses less digits than its factorization.

200906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 200906400 is about 14174.1454768885. The cubic root of 200906400 is about 585.6856596304.

The spelling of 200906400 in words is "two hundred million, nine hundred six thousand, four hundred".