1296400 has 60 divisors (see below), whose sum is σ = 3567232. Its totient is φ = 443520.

The previous prime is 1296391. The next prime is 1296409. The reversal of 1296400 is 46921.

It is an interprime number because it is at equal distance from previous prime (1296391) and next prime (1296409).

It is not an unprimeable number, because it can be changed into a prime (1296409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2569 + ... + 3031.

2^1296400 is an apocalyptic number.

1296400 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 1296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783616).

1296400 is an abundant number, since it is smaller than the sum of its proper divisors (2270832).

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

1296400 is a wasteful number, since it uses less digits than its factorization.

1296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1296400 is about 1138.5956261992. The cubic root of 1296400 is about 109.0384512099.

It can be divided in two parts, 1296 and 400, that multiplied together give a square (518400 = 720²).

The spelling of 1296400 in words is "one million, two hundred ninety-six thousand, four hundred".