201403400 has 96 divisors (see below), whose sum is σ = 522957600. Its totient is φ = 71500800.

The previous prime is 201403399. The next prime is 201403409. The reversal of 201403400 is 4304102.

201403400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201403409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93536 + ... + 95664.

It is an arithmetic number, because the mean of its divisors is an integer number (5447475).

Almost surely, 2^201403400 is an apocalyptic number.

201403400 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 201403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261478800).

201403400 is an abundant number, since it is smaller than the sum of its proper divisors (321554200).

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

201403400 is a wasteful number, since it uses less digits than its factorization.

201403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 201403400 is about 14191.6665688002. Note that the first 3 decimals coincide. The cubic root of 201403400 is about 586.1682161408.

Adding to 201403400 its reverse (4304102), we get a palindrome (205707502).

The spelling of 201403400 in words is "two hundred one million, four hundred three thousand, four hundred".