2256408 has 144 divisors (see below), whose sum is σ = 7884240. Its totient is φ = 570240.

The previous prime is 2256389. The next prime is 2256413. The reversal of 2256408 is 8046522.

2256408 is a `hidden beast` number, since 2 + 256 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60966 + ... + 61002.

2^2256408 is an apocalyptic number.

2256408 is a gapful number since it is divisible by the number (28) 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 2256408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942120).

2256408 is an abundant number, since it is smaller than the sum of its proper divisors (5627832).

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

2256408 is a wasteful number, since it uses less digits than its factorization.

2256408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2256408 is about 1502.1344813298. The cubic root of 2256408 is about 131.1613496601.

The spelling of 2256408 in words is "two million, two hundred fifty-six thousand, four hundred eight".