2256400 has 30 divisors (see below), whose sum is σ = 5421962. Its totient is φ = 902400.

The previous prime is 2256389. The next prime is 2256413. The reversal of 2256400 is 46522.

It can be written as a sum of positive squares in 3 ways, for example, as 698896 + 1557504 = 836^2 + 1248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2421 + ... + 3220.

2^2256400 is an apocalyptic number.

2256400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256400 is an abundant number, since it is smaller than the sum of its proper divisors (3165562).

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

2256400 is a wasteful number, since it uses less digits than its factorization.

2256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5659 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2256400 is about 1502.1318184500. The cubic root of 2256400 is about 131.1611946509.

It can be divided in two parts, 225 and 6400, that multiplied together give a square (1440000 = 1200²).

The spelling of 2256400 in words is "two million, two hundred fifty-six thousand, four hundred".