12574400 has 84 divisors (see below), whose sum is σ = 32125920. Its totient is φ = 4838400.

The previous prime is 12574381. The next prime is 12574403. The reversal of 12574400 is 447521.

It is not an unprimeable number, because it can be changed into a prime (12574403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46265 + ... + 46535.

Almost surely, 2^12574400 is an apocalyptic number.

12574400 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 12574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16062960).

12574400 is an abundant number, since it is smaller than the sum of its proper divisors (19551520).

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

12574400 is a wasteful number, since it uses less digits than its factorization.

12574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 12574400 is about 3546.0400448952. The cubic root of 12574400 is about 232.5389767776.

The spelling of 12574400 in words is "twelve million, five hundred seventy-four thousand, four hundred".