12457440 has 144 divisors (see below), whose sum is σ = 43754256. Its totient is φ = 3225600.

The previous prime is 12457429. The next prime is 12457451. The reversal of 12457440 is 4475421.

12457440 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 an interprime number because it is at equal distance from previous prime (12457429) and next prime (12457451).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12457440² = 310375622707200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58935 + ... + 59145.

It is an arithmetic number, because the mean of its divisors is an integer number (303849).

Almost surely, 2^12457440 is an apocalyptic number.

12457440 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 12457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877128).

12457440 is an abundant number, since it is smaller than the sum of its proper divisors (31296816).

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

12457440 is a wasteful number, since it uses less digits than its factorization.

12457440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 12457440 is about 3529.5098809891. The cubic root of 12457440 is about 231.8157474841.

The spelling of 12457440 in words is "twelve million, four hundred fifty-seven thousand, four hundred forty".