201146380 has 48 divisors (see below), whose sum is σ = 449227296. Its totient is φ = 75392000.

The previous prime is 201146357. The next prime is 201146381. The reversal of 201146380 is 83641102.

It is not an unprimeable number, because it can be changed into a prime (201146381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84162 + ... + 86518.

It is an arithmetic number, because the mean of its divisors is an integer number (9358902).

Almost surely, 2^201146380 is an apocalyptic number.

201146380 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 201146380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224613648).

201146380 is an abundant number, since it is smaller than the sum of its proper divisors (248080916).

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

201146380 is a wasteful number, since it uses less digits than its factorization.

201146380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 201146380 is about 14182.6083637672. The cubic root of 201146380 is about 585.9187647295.

Adding to 201146380 its reverse (83641102), we get a palindrome (284787482).

The spelling of 201146380 in words is "two hundred one million, one hundred forty-six thousand, three hundred eighty".