15460 has 12 divisors (see below), whose sum is σ = 32508. Its totient is φ = 6176.

The previous prime is 15451. The next prime is 15461. The reversal of 15460 is 6451.

15460 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 2916 + 12544 = 54^2 + 112^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15461) by changing a digit.

15460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 367 + ... + 406.

It is an arithmetic number, because the mean of its divisors is an integer number (2709).

2¹⁵⁴⁶⁰ is an apocalyptic number.

15460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15460 is an abundant number, since it is smaller than the sum of its proper divisors (17048).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254).

15460 is a wasteful number, since it uses less digits than its factorization.

15460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 15460 is about 124.3382483390. The cubic root of 15460 is about 24.9116884098.

Subtracting from 15460 its reverse (6451), we obtain a palindrome (9009).

The spelling of 15460 in words is "fifteen thousand, four hundred sixty".