201414400 has 108 divisors (see below), whose sum is σ = 544043304. Its totient is φ = 73216000.

The previous prime is 201414397. The next prime is 201414401. The reversal of 201414400 is 4414102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201414401) 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, 68970 + ... + 71830.

It is an arithmetic number, because the mean of its divisors is an integer number (5037438).

Almost surely, 2^201414400 is an apocalyptic number.

201414400 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 201414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272021652).

201414400 is an abundant number, since it is smaller than the sum of its proper divisors (342628904).

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

201414400 is a wasteful number, since it uses less digits than its factorization.

201414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 201414400 is about 14192.0541148912. The cubic root of 201414400 is about 586.1788874817.

Adding to 201414400 its reverse (4414102), we get a palindrome (205828502).

The spelling of 201414400 in words is "two hundred one million, four hundred fourteen thousand, four hundred".