201520416 has 48 divisors (see below), whose sum is σ = 538985664. Its totient is φ = 65904384.

The previous prime is 201520379. The next prime is 201520433. The reversal of 201520416 is 614025102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×201520416² = 81220956129626112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201520392 and 201520401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14716 + ... + 24891.

It is an arithmetic number, because the mean of its divisors is an integer number (11228868).

Almost surely, 2^201520416 is an apocalyptic number.

It is an amenable number.

201520416 is an abundant number, since it is smaller than the sum of its proper divisors (337465248).

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

201520416 is a wasteful number, since it uses less digits than its factorization.

201520416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39673 (or 39665 counting only the distinct ones).

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

The square root of 201520416 is about 14195.7886712926. The cubic root of 201520416 is about 586.2817160129.

Adding to 201520416 its reverse (614025102), we get a palindrome (815545518).

The spelling of 201520416 in words is "two hundred one million, five hundred twenty thousand, four hundred sixteen".