12449952 has 72 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 4106880.

The previous prime is 12449951. The next prime is 12449963. The reversal of 12449952 is 25994421.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (12449951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39877 + ... + 40187.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 2^12449952 is an apocalyptic number.

12449952 is a gapful number since it is divisible by the number (12) 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 12449952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

12449952 is an abundant number, since it is smaller than the sum of its proper divisors (23323968).

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

12449952 is a wasteful number, since it uses less digits than its factorization.

12449952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12449952 is about 3528.4489510265. The cubic root of 12449952 is about 231.7692910632.

The spelling of 12449952 in words is "twelve million, four hundred forty-nine thousand, nine hundred fifty-two".