12858460 has 48 divisors (see below), whose sum is σ = 29121120. Its totient is φ = 4751360.

The previous prime is 12858437. The next prime is 12858467. The reversal of 12858460 is 6485821.

12858460 = T₂₀₅ + T₂₀₆ + ... + T₄₄₀.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12858467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19740 + ... + 20380.

It is an arithmetic number, because the mean of its divisors is an integer number (606690).

Almost surely, 2^12858460 is an apocalyptic number.

12858460 is a gapful number since it is divisible by the number (10) 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 12858460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14560560).

12858460 is an abundant number, since it is smaller than the sum of its proper divisors (16262660).

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

12858460 is a wasteful number, since it uses less digits than its factorization.

12858460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 12858460 is about 3585.8694900958. The cubic root of 12858460 is about 234.2769992651.

The spelling of 12858460 in words is "twelve million, eight hundred fifty-eight thousand, four hundred sixty".