201482880 has 128 divisors (see below), whose sum is σ = 649209600. Its totient is φ = 53145600.

The previous prime is 201482873. The next prime is 201482887. The reversal of 201482880 is 88284102.

It is an interprime number because it is at equal distance from previous prime (201482873) and next prime (201482887).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (201482887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193401 + ... + 194439.

It is an arithmetic number, because the mean of its divisors is an integer number (5071950).

Almost surely, 2^201482880 is an apocalyptic number.

201482880 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 201482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324604800).

201482880 is an abundant number, since it is smaller than the sum of its proper divisors (447726720).

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

201482880 is a wasteful number, since it uses less digits than its factorization.

201482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 201482880 is about 14194.4665274888. The cubic root of 201482880 is about 586.2453126922.

The spelling of 201482880 in words is "two hundred one million, four hundred eighty-two thousand, eight hundred eighty".