201432000 has 448 divisors, whose sum is σ = 836858880. Its totient is φ = 41472000.

The previous prime is 201431957. The next prime is 201432013. The reversal of 201432000 is 234102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847946 + ... + 1848054.

Almost surely, 2^201432000 is an apocalyptic number.

201432000 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 201432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418429440).

201432000 is an abundant number, since it is smaller than the sum of its proper divisors (635426880).

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

201432000 is a wasteful number, since it uses less digits than its factorization.

201432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 201432000 is about 14192.6741666255. The cubic root of 201432000 is about 586.1959608189.

Adding to 201432000 its reverse (234102), we get a palindrome (201666102).

The spelling of 201432000 in words is "two hundred one million, four hundred thirty-two thousand".