12407472 has 160 divisors (see below), whose sum is σ = 44520960. Its totient is φ = 3214080.

The previous prime is 12407453. The next prime is 12407477. The reversal of 12407472 is 27470421.

It is a happy number.

12407472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12407472² = 307890722861568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12407477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33078 + ... + 33450.

It is an arithmetic number, because the mean of its divisors is an integer number (278256).

Almost surely, 2^12407472 is an apocalyptic number.

12407472 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 12407472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22260480).

12407472 is an abundant number, since it is smaller than the sum of its proper divisors (32113488).

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

12407472 is a wasteful number, since it uses less digits than its factorization.

12407472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 12407472 is about 3522.4241652589. The cubic root of 12407472 is about 231.5053870031.

Adding to 12407472 its reverse (27470421), we get a palindrome (39877893).

The spelling of 12407472 in words is "twelve million, four hundred seven thousand, four hundred seventy-two".