201504216 has 64 divisors (see below), whose sum is σ = 523008000. Its totient is φ = 64627200.

The previous prime is 201504203. The next prime is 201504227. The reversal of 201504216 is 612405102.

It is a junction number, because it is equal to n+sod(n) for n = 201504192 and 201504201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147376 + ... + 148736.

It is an arithmetic number, because the mean of its divisors is an integer number (8172000).

Almost surely, 2^201504216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201504216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261504000).

201504216 is an abundant number, since it is smaller than the sum of its proper divisors (321503784).

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

201504216 is a wasteful number, since it uses less digits than its factorization.

201504216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 201504216 is about 14195.2180680679. The cubic root of 201504216 is about 586.2660054156.

Adding to 201504216 its reverse (612405102), we get a palindrome (813909318).

The spelling of 201504216 in words is "two hundred one million, five hundred four thousand, two hundred sixteen".