201356400 has 120 divisors (see below), whose sum is σ = 737186944. Its totient is φ = 46022400.

The previous prime is 201356399. The next prime is 201356417. The reversal of 201356400 is 4653102.

It is a happy number.

201356400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3586 + ... + 20385.

Almost surely, 2^201356400 is an apocalyptic number.

201356400 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 201356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368593472).

201356400 is an abundant number, since it is smaller than the sum of its proper divisors (535830544).

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

201356400 is a wasteful number, since it uses less digits than its factorization.

201356400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23999 (or 23988 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 201356400 is about 14190.0105708206. The cubic root of 201356400 is about 586.1226160343.

The spelling of 201356400 in words is "two hundred one million, three hundred fifty-six thousand, four hundred".