201084480 has 84 divisors (see below), whose sum is σ = 691656732. Its totient is φ = 53621760.

The previous prime is 201084479. The next prime is 201084493. The reversal of 201084480 is 84480102.

201084480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 158155776 = 6552^2 + 12576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32031 + ... + 37790.

Almost surely, 2^201084480 is an apocalyptic number.

201084480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201084480 is an abundant number, since it is smaller than the sum of its proper divisors (490572252).

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

201084480 is a wasteful number, since it uses less digits than its factorization.

201084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69844 (or 69831 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 201084480 is about 14180.4259456478. The cubic root of 201084480 is about 585.8586557805.

The spelling of 201084480 in words is "two hundred one million, eighty-four thousand, four hundred eighty".