201075400 has 48 divisors (see below), whose sum is σ = 477469440. Its totient is φ = 78715200.

The previous prime is 201075397. The next prime is 201075401. The reversal of 201075400 is 4570102.

It is not an unprimeable number, because it can be changed into a prime (201075401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1296 + ... + 20095.

It is an arithmetic number, because the mean of its divisors is an integer number (9947280).

Almost surely, 2^201075400 is an apocalyptic number.

201075400 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 201075400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238734720).

201075400 is an abundant number, since it is smaller than the sum of its proper divisors (276394040).

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

201075400 is a wasteful number, since it uses less digits than its factorization.

201075400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21454 (or 21445 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 201075400 is about 14180.1057823981. The cubic root of 201075400 is about 585.8498374691.

The spelling of 201075400 in words is "two hundred one million, seventy-five thousand, four hundred".