12404 has 12 divisors (see below), whose sum is σ = 24864. Its totient is φ = 5304.

The previous prime is 12401. The next prime is 12409. The reversal of 12404 is 40421.

Adding to 12404 its reverse (40421), we get a palindrome (52825).

12404 = T_{56} + T_{57} + ... +
T_{62}.

12404 is an admirable number.

It is a pancake number, because a pancake can be divided into 12404 parts by 157 straight cuts.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (2072).

2^{12404} is an apocalyptic number.

12404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12404 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432).

12404 is a wasteful number, since it uses less digits than its factorization.

12404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 12404 is about 111.3732463386. The cubic root of 12404 is about 23.1483790831.

The spelling of 12404 in words is "twelve thousand, four hundred four", and thus it is an iban number.

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