40456 has 16 divisors (see below), whose sum is σ = 81900. Its totient is φ = 18624.

The previous prime is 40433. The next prime is 40459. The reversal of 40456 is 65404.

It can be written as a sum of positive squares in 2 ways, for example, as 36100 + 4356 = 190^2 + 66^2 .

It is not an unprimeable number, because it can be changed into a prime (40459) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91 + ... + 298.

2⁴⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

40456 is an abundant number, since it is smaller than the sum of its proper divisors (41444).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40950).

40456 is a wasteful number, since it uses less digits than its factorization.

40456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

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

The square root of 40456 is about 201.1367693884. The cubic root of 40456 is about 34.3289863685.

It can be divided in two parts, 40 and 456, that added together give a triangular number (496 = T₃₁).

The spelling of 40456 in words is "forty thousand, four hundred fifty-six".