200946144 has 48 divisors (see below), whose sum is σ = 602840448. Its totient is φ = 57412992.

The previous prime is 200946127. The next prime is 200946203. The reversal of 200946144 is 441649002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148842 + ... + 150185.

It is an arithmetic number, because the mean of its divisors is an integer number (12559176).

Almost surely, 2^200946144 is an apocalyptic number.

200946144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200946144 is an abundant number, since it is smaller than the sum of its proper divisors (401894304).

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

200946144 is a wasteful number, since it uses less digits than its factorization.

200946144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299047 (or 299039 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 200946144 is about 14175.5473968380. The cubic root of 200946144 is about 585.7242778726.

The spelling of 200946144 in words is "two hundred million, nine hundred forty-six thousand, one hundred forty-four".