201360400 has 120 divisors (see below), whose sum is σ = 517556160. Its totient is φ = 75102720.

The previous prime is 201360391. The next prime is 201360403. The reversal of 201360400 is 4063102.

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 (201360403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395346 + ... + 395854.

It is an arithmetic number, because the mean of its divisors is an integer number (4312968).

Almost surely, 2^201360400 is an apocalyptic number.

201360400 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 201360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258778080).

201360400 is an abundant number, since it is smaller than the sum of its proper divisors (316195760).

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

201360400 is a wasteful number, since it uses less digits than its factorization.

201360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 201360400 is about 14190.1515143426. The cubic root of 201360400 is about 586.1264971707.

The spelling of 201360400 in words is "two hundred one million, three hundred sixty thousand, four hundred".