56005440 has 112 divisors (see below), whose sum is σ = 179295552. Its totient is φ = 14811136.

The previous prime is 56005373. The next prime is 56005441. The reversal of 56005440 is 4450065.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 56005440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56005441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217792 + ... + 218048.

Almost surely, 2^56005440 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 56005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89647776).

56005440 is an abundant number, since it is smaller than the sum of its proper divisors (123290112).

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

56005440 is a wasteful number, since it uses less digits than its factorization.

56005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 56005440 is about 7483.6782400101. The cubic root of 56005440 is about 382.5986246601.

The spelling of 56005440 in words is "fifty-six million, five thousand, four hundred forty".