200890800 has 480 divisors, whose sum is σ = 830304000. Its totient is φ = 45619200.

The previous prime is 200890787. The next prime is 200890841. The reversal of 200890800 is 8098002.

It is a super-2 number, since 2×200890800² = 80714227049280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2257156 + ... + 2257244.

It is an arithmetic number, because the mean of its divisors is an integer number (1729800).

Almost surely, 2^200890800 is an apocalyptic number.

200890800 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 200890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415152000).

200890800 is an abundant number, since it is smaller than the sum of its proper divisors (629413200).

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

200890800 is a wasteful number, since it uses less digits than its factorization.

200890800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 200890800 is about 14173.5951684814. The cubic root of 200890800 is about 585.6705001120.

The spelling of 200890800 in words is "two hundred million, eight hundred ninety thousand, eight hundred".