6123401460 has 144 divisors (see below), whose sum is σ = 20360313792. Its totient is φ = 1477324800.

The previous prime is 6123401441. The next prime is 6123401489. The reversal of 6123401460 is 641043216.

6123401460 is a `hidden beast` number, since 612 + 3 + 4 + 0 + 1 + 46 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410452 + ... + 425108.

It is an arithmetic number, because the mean of its divisors is an integer number (141391068).

Almost surely, 2^6123401460 is an apocalyptic number.

6123401460 is a gapful number since it is divisible by the number (60) 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 6123401460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10180156896).

6123401460 is an abundant number, since it is smaller than the sum of its proper divisors (14236912332).

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

6123401460 is a wasteful number, since it uses less digits than its factorization.

6123401460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14894 (or 14889 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6123401460 is about 78252.1658486204. The cubic root of 6123401460 is about 1829.4936698276.

Adding to 6123401460 its reverse (641043216), we get a palindrome (6764444676).

The spelling of 6123401460 in words is "six billion, one hundred twenty-three million, four hundred one thousand, four hundred sixty".