201415320 has 96 divisors (see below), whose sum is σ = 693126720. Its totient is φ = 50549760.

The previous prime is 201415307. The next prime is 201415327. The reversal of 201415320 is 23514102.

It is a super-2 number, since 2×201415320² = 81136262261404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201415293 and 201415302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201415327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10336 + ... + 22575.

It is an arithmetic number, because the mean of its divisors is an integer number (7220070).

Almost surely, 2^201415320 is an apocalyptic number.

201415320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201415320 is an abundant number, since it is smaller than the sum of its proper divisors (491711400).

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

201415320 is a wasteful number, since it uses less digits than its factorization.

201415320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32945 (or 32938 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201415320 is about 14192.0865273574. The cubic root of 201415320 is about 586.1797799762.

Adding to 201415320 its reverse (23514102), we get a palindrome (224929422).

The spelling of 201415320 in words is "two hundred one million, four hundred fifteen thousand, three hundred twenty".