201330400 has 36 divisors (see below), whose sum is σ = 491499792. Its totient is φ = 80531840.

The previous prime is 201330397. The next prime is 201330427. The reversal of 201330400 is 4033102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125032 + ... + 126631.

It is an arithmetic number, because the mean of its divisors is an integer number (13652772).

Almost surely, 2^201330400 is an apocalyptic number.

201330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201330400 is an abundant number, since it is smaller than the sum of its proper divisors (290169392).

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

201330400 is a wasteful number, since it uses less digits than its factorization.

201330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251683 (or 251670 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 201330400 is about 14189.0944038018. The cubic root of 201330400 is about 586.0973873950.

Adding to 201330400 its reverse (4033102), we get a palindrome (205363502).

The spelling of 201330400 in words is "two hundred one million, three hundred thirty thousand, four hundred".