200954880 has 396 divisors, whose sum is σ = 819086580. Its totient is φ = 45416448.

The previous prime is 200954863. The next prime is 200954947. The reversal of 200954880 is 88459002.

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 146313216 = 7392^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2257876 + ... + 2257964.

Almost surely, 2^200954880 is an apocalyptic number.

200954880 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 200954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409543290).

200954880 is an abundant number, since it is smaller than the sum of its proper divisors (618131700).

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

200954880 is a wasteful number, since it uses less digits than its factorization.

200954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 200954880 is about 14175.8555297379. The cubic root of 200954880 is about 585.7327657408.

The spelling of 200954880 in words is "two hundred million, nine hundred fifty-four thousand, eight hundred eighty".