200750400 has 210 divisors, whose sum is σ = 738384350. Its totient is φ = 53498880.

The previous prime is 200750393. The next prime is 200750413. The reversal of 200750400 is 4057002.

It is a happy number.

200750400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5645376 + 195105024 = 2376^2 + 13968^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128826 + ... + 130374.

Almost surely, 2^200750400 is an apocalyptic number.

200750400 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 200750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369192175).

200750400 is an abundant number, since it is smaller than the sum of its proper divisors (537633950).

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

200750400 is a wasteful number, since it uses less digits than its factorization.

200750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 200750400 is about 14168.6414309912. The cubic root of 200750400 is about 585.5340291176.

The spelling of 200750400 in words is "two hundred million, seven hundred fifty thousand, four hundred".