201344400 has 240 divisors, whose sum is σ = 727592320. Its totient is φ = 52876800.

The previous prime is 201344393. The next prime is 201344401. The reversal of 201344400 is 4443102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×201344400² = 81079134822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201344401) 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 47 ways as a sum of consecutive naturals, for example, 1112310 + ... + 1112490.

Almost surely, 2^201344400 is an apocalyptic number.

201344400 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 201344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363796160).

201344400 is an abundant number, since it is smaller than the sum of its proper divisors (526247920).

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

201344400 is a wasteful number, since it uses less digits than its factorization.

201344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 201344400 is about 14189.5877318547. The cubic root of 201344400 is about 586.1109723168.

Adding to 201344400 its reverse (4443102), we get a palindrome (205787502).

The spelling of 201344400 in words is "two hundred one million, three hundred forty-four thousand, four hundred".