201332400 has 60 divisors (see below), whose sum is σ = 644938632. Its totient is φ = 53688320.

The previous prime is 201332399. The next prime is 201332401. The reversal of 201332400 is 4233102.

It is an interprime number because it is at equal distance from previous prime (201332399) and next prime (201332401).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201332400.

It is not an unprimeable number, because it can be changed into a prime (201332401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82689 + ... + 85088.

Almost surely, 2^201332400 is an apocalyptic number.

201332400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201332400 is an abundant number, since it is smaller than the sum of its proper divisors (443606232).

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

201332400 is a wasteful number, since it uses less digits than its factorization.

201332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167798 (or 167787 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 201332400 is about 14189.1648802881. The cubic root of 201332400 is about 586.0993281367.

Adding to 201332400 its reverse (4233102), we get a palindrome (205565502).

The spelling of 201332400 in words is "two hundred one million, three hundred thirty-two thousand, four hundred".