201170480 has 240 divisors, whose sum is σ = 596256480. Its totient is φ = 62705664.

The previous prime is 201170467. The next prime is 201170483. The reversal of 201170480 is 84071102.

It is not an unprimeable number, because it can be changed into a prime (201170483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2755724 + ... + 2755796.

It is an arithmetic number, because the mean of its divisors is an integer number (2484402).

Almost surely, 2^201170480 is an apocalyptic number.

201170480 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 201170480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298128240).

201170480 is an abundant number, since it is smaller than the sum of its proper divisors (395086000).

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

201170480 is a wasteful number, since it uses less digits than its factorization.

201170480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 201170480 is about 14183.4579704669. The cubic root of 201170480 is about 585.9421640707.

The spelling of 201170480 in words is "two hundred one million, one hundred seventy thousand, four hundred eighty".