56440 has 32 divisors (see below), whose sum is σ = 136080. Its totient is φ = 20992.

The previous prime is 56437. The next prime is 56443. The reversal of 56440 is 4465.

It is an interprime number because it is at equal distance from previous prime (56437) and next prime (56443).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639 + ... + 721.

2⁵⁶⁴⁴⁰ 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 56440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040).

56440 is an abundant number, since it is smaller than the sum of its proper divisors (79640).

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

56440 is a wasteful number, since it uses less digits than its factorization.

56440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

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

The square root of 56440 is about 237.5710420064. The cubic root of 56440 is about 38.3585635206.

It can be divided in two parts, 56 and 440, that added together give a triangular number (496 = T₃₁).

The spelling of 56440 in words is "fifty-six thousand, four hundred forty".