201974400 has 144 divisors (see below), whose sum is σ = 720793710. Its totient is φ = 53852160.

The previous prime is 201974371. The next prime is 201974401. The reversal of 201974400 is 4479102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 178703424 + 23270976 = 13368^2 + 4824^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (201974401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25294 + ... + 32306.

Almost surely, 2^201974400 is an apocalyptic number.

201974400 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 201974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360396855).

201974400 is an abundant number, since it is smaller than the sum of its proper divisors (518819310).

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

201974400 is a wasteful number, since it uses less digits than its factorization.

201974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 201974400 is about 14211.7697701588. The cubic root of 201974400 is about 586.7216431492.

The spelling of 201974400 in words is "two hundred one million, nine hundred seventy-four thousand, four hundred".