12404456460 has 144 divisors (see below), whose sum is σ = 42157114272. Its totient is φ = 2925849600.

The previous prime is 12404456459. The next prime is 12404456513. The reversal of 12404456460 is 6465440421.

12404456460 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 4 + 4 + 5 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11401 + ... + 157920.

It is an arithmetic number, because the mean of its divisors is an integer number (292757738).

Almost surely, 2^12404456460 is an apocalyptic number.

12404456460 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 12404456460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21078557136).

12404456460 is an abundant number, since it is smaller than the sum of its proper divisors (29752657812).

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

12404456460 is a wasteful number, since it uses less digits than its factorization.

12404456460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169384 (or 169379 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 12404456460 its reverse (6465440421), we get a palindrome (18869896881).

It can be divided in two parts, 12404 and 456460, that added together give a palindrome (468864).

The spelling of 12404456460 in words is "twelve billion, four hundred four million, four hundred fifty-six thousand, four hundred sixty".