12404960 has 96 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 4608000.

The previous prime is 12404957. The next prime is 12404971. The reversal of 12404960 is 6940421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203330 + ... + 203390.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 2^12404960 is an apocalyptic number.

12404960 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 12404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

12404960 is an abundant number, since it is smaller than the sum of its proper divisors (19093024).

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

12404960 is a wasteful number, since it uses less digits than its factorization.

12404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 12404960 is about 3522.0675745931. The cubic root of 12404960 is about 231.4897625261.

It can be divided in two parts, 1240 and 4960, that multiplied together give a square (6150400 = 2480²).

The spelling of 12404960 in words is "twelve million, four hundred four thousand, nine hundred sixty".