201413460 has 96 divisors (see below), whose sum is σ = 579462912. Its totient is φ = 52254720.

The previous prime is 201413453. The next prime is 201413473. The reversal of 201413460 is 64314102.

It is a super-3 number, since 3×201413460³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413337 + ... + 413823.

It is an arithmetic number, because the mean of its divisors is an integer number (6036072).

Almost surely, 2^201413460 is an apocalyptic number.

201413460 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 201413460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289731456).

201413460 is an abundant number, since it is smaller than the sum of its proper divisors (378049452).

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

201413460 is a wasteful number, since it uses less digits than its factorization.

201413460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 201413460 is about 14192.0209977297. The cubic root of 201413460 is about 586.1779755823.

Adding to 201413460 its reverse (64314102), we get a palindrome (265727562).

The spelling of 201413460 in words is "two hundred one million, four hundred thirteen thousand, four hundred sixty".