12405792 has 48 divisors (see below), whose sum is σ = 37219392. Its totient is φ = 3544320.

The previous prime is 12405779. The next prime is 12405793. The reversal of 12405792 is 29750421.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12405793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8559 + ... + 9902.

It is an arithmetic number, because the mean of its divisors is an integer number (775404).

Almost surely, 2^12405792 is an apocalyptic number.

12405792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12405792 is an abundant number, since it is smaller than the sum of its proper divisors (24813600).

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

12405792 is a wasteful number, since it uses less digits than its factorization.

12405792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18481 (or 18473 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 12405792 is about 3522.1856850541. The cubic root of 12405792 is about 231.4949377457.

The spelling of 12405792 in words is "twelve million, four hundred five thousand, seven hundred ninety-two".