12492480 has 336 divisors, whose sum is σ = 53547264. Its totient is φ = 2396160.

The previous prime is 12492479. The next prime is 12492497. The reversal of 12492480 is 8429421.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 960954 + ... + 960966.

Almost surely, 2^12492480 is an apocalyptic number.

12492480 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 12492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26773632).

12492480 is an abundant number, since it is smaller than the sum of its proper divisors (41054784).

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

12492480 is a wasteful number, since it uses less digits than its factorization.

12492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12492480 is about 3534.4702573370. The cubic root of 12492480 is about 232.0328926807.

The spelling of 12492480 in words is "twelve million, four hundred ninety-two thousand, four hundred eighty".