201590400 has 384 divisors, whose sum is σ = 764951040. Its totient is φ = 46182400.

The previous prime is 201590387. The next prime is 201590401. The reversal of 201590400 is 4095102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201590401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2428759 + ... + 2428841.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 2^201590400 is an apocalyptic number.

201590400 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 201590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382475520).

201590400 is an abundant number, since it is smaller than the sum of its proper divisors (563360640).

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

201590400 is a wasteful number, since it uses less digits than its factorization.

201590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 201590400 is about 14198.2534137125. The cubic root of 201590400 is about 586.3495761197.

The spelling of 201590400 in words is "two hundred one million, five hundred ninety thousand, four hundred".