2856456 has 48 divisors (see below), whose sum is σ = 7835100. Its totient is φ = 940032.

The previous prime is 2856449. The next prime is 2856461. The reversal of 2856456 is 6546582.

2856456 is a `hidden beast` number, since 2 + 8 + 5 + 645 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2722500 + 133956 = 1650^2 + 366^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2856456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6780 + ... + 7188.

2^2856456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2856456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917550).

2856456 is an abundant number, since it is smaller than the sum of its proper divisors (4978644).

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

2856456 is a wasteful number, since it uses less digits than its factorization.

2856456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2856456 is about 1690.1053221619. The cubic root of 2856456 is about 141.8869694987.

The spelling of 2856456 in words is "two million, eight hundred fifty-six thousand, four hundred fifty-six".