2256401 has 6 divisors (see below), whose sum is σ = 2624850. Its totient is φ = 1934016.

The previous prime is 2256389. The next prime is 2256413. The reversal of 2256401 is 1046522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2256389) and next prime (2256413).

It can be written as a sum of positive squares in only one way, i.e., 1254400 + 1002001 = 1120^2 + 1001^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2256401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2256431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22976 + ... + 23073.

It is an arithmetic number, because the mean of its divisors is an integer number (437475).

2^2256401 is an apocalyptic number.

It is an amenable number.

2256401 is a deficient number, since it is larger than the sum of its proper divisors (368449).

2256401 is an equidigital number, since it uses as much as digits as its factorization.

2256401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46063 (or 46056 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2256401 is about 1502.1321513103. The cubic root of 2256401 is about 131.1612140271.

The spelling of 2256401 in words is "two million, two hundred fifty-six thousand, four hundred one".