201304480 has 96 divisors (see below), whose sum is σ = 542387664. Its totient is φ = 69943296.

The previous prime is 201304471. The next prime is 201304489. The reversal of 201304480 is 84403102.

It is an interprime number because it is at equal distance from previous prime (201304471) and next prime (201304489).

It can be written as a sum of positive squares in 8 ways, for example, as 38588944 + 162715536 = 6212^2 + 12756^2 .

It is not an unprimeable number, because it can be changed into a prime (201304489) 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 15 ways as a sum of consecutive naturals, for example, 32514 + ... + 38206.

Almost surely, 2^201304480 is an apocalyptic number.

201304480 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 201304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271193832).

201304480 is an abundant number, since it is smaller than the sum of its proper divisors (341083184).

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

201304480 is a wasteful number, since it uses less digits than its factorization.

201304480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 201304480 is about 14188.1809968720. The cubic root of 201304480 is about 586.0722342201.

Adding to 201304480 its reverse (84403102), we get a palindrome (285707582).

The spelling of 201304480 in words is "two hundred one million, three hundred four thousand, four hundred eighty".