12490416 has 80 divisors (see below), whose sum is σ = 37125600. Its totient is φ = 4015872.

The previous prime is 12490409. The next prime is 12490417. The reversal of 12490416 is 61409421.

12490416 is a `hidden beast` number, since 1 + 249 + 0 + 416 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12490416.

It is not an unprimeable number, because it can be changed into a prime (12490417) 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 15 ways as a sum of consecutive naturals, for example, 12030 + ... + 13026.

It is an arithmetic number, because the mean of its divisors is an integer number (464070).

Almost surely, 2^12490416 is an apocalyptic number.

12490416 is a gapful number since it is divisible by the number (16) 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 12490416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18562800).

12490416 is an abundant number, since it is smaller than the sum of its proper divisors (24635184).

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

12490416 is a wasteful number, since it uses less digits than its factorization.

12490416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12490416 is about 3534.1782637552. The cubic root of 12490416 is about 232.0201131988.

Adding to 12490416 its reverse (61409421), we get a palindrome (73899837).

The spelling of 12490416 in words is "twelve million, four hundred ninety thousand, four hundred sixteen".