201944000 has 56 divisors (see below), whose sum is σ = 500134128. Its totient is φ = 80774400.

The previous prime is 201943997. The next prime is 201944011. The reversal of 201944000 is 449102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4622 + ... + 20621.

Almost surely, 2^201944000 is an apocalyptic number.

201944000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201944000 is an abundant number, since it is smaller than the sum of its proper divisors (298190128).

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

201944000 is an equidigital number, since it uses as much as digits as its factorization.

201944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25270 (or 25250 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 201944000 is about 14210.7001938680. The cubic root of 201944000 is about 586.6922050407.

The spelling of 201944000 in words is "two hundred one million, nine hundred forty-four thousand".