201885480 has 128 divisors (see below), whose sum is σ = 685843200. Its totient is φ = 52805376.

The previous prime is 201885479. The next prime is 201885487. The reversal of 201885480 is 84588102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201885487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55477 + ... + 59003.

It is an arithmetic number, because the mean of its divisors is an integer number (5358150).

Almost surely, 2^201885480 is an apocalyptic number.

201885480 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 201885480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342921600).

201885480 is an abundant number, since it is smaller than the sum of its proper divisors (483957720).

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

201885480 is a wasteful number, since it uses less digits than its factorization.

201885480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 201885480 is about 14208.6410328363. The cubic root of 201885480 is about 586.6355283634.

The spelling of 201885480 in words is "two hundred one million, eight hundred eighty-five thousand, four hundred eighty".