201410000 has 100 divisors (see below), whose sum is σ = 532254624. Its totient is φ = 73200000.

The previous prime is 201409963. The next prime is 201410003. The reversal of 201410000 is 14102.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 201410000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201410003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109085 + ... + 110915.

Almost surely, 2^201410000 is an apocalyptic number.

201410000 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 201410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266127312).

201410000 is an abundant number, since it is smaller than the sum of its proper divisors (330844624).

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

201410000 is a wasteful number, since it uses less digits than its factorization.

201410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 201410000 is about 14191.8990977247. The cubic root of 201410000 is about 586.1746189920.

Adding to 201410000 its reverse (14102), we get a palindrome (201424102).

The spelling of 201410000 in words is "two hundred one million, four hundred ten thousand".