200400144 has 80 divisors (see below), whose sum is σ = 622817280. Its totient is φ = 54241920.

The previous prime is 200400133. The next prime is 200400181. The reversal of 200400144 is 441004002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9312 + ... + 22079.

It is an arithmetic number, because the mean of its divisors is an integer number (7785216).

Almost surely, 2^200400144 is an apocalyptic number.

200400144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200400144 is an abundant number, since it is smaller than the sum of its proper divisors (422417136).

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

200400144 is a wasteful number, since it uses less digits than its factorization.

200400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31428 (or 31422 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 200400144 is about 14156.2757814335. The cubic root of 200400144 is about 585.1932972160.

Adding to 200400144 its reverse (441004002), we get a palindrome (641404146).

The spelling of 200400144 in words is "two hundred million, four hundred thousand, one hundred forty-four".