56449440 has 192 divisors, whose sum is σ = 201398400. Its totient is φ = 14764032.

The previous prime is 56449439. The next prime is 56449451. The reversal of 56449440 is 4494465.

56449440 is a `hidden beast` number, since 5 + 644 + 9 + 4 + 4 + 0 = 666.

56449440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 56449395 and 56449404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315271 + ... + 315449.

It is an arithmetic number, because the mean of its divisors is an integer number (1048950).

Almost surely, 2^56449440 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 56449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699200).

56449440 is an abundant number, since it is smaller than the sum of its proper divisors (144948960).

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

56449440 is a wasteful number, since it uses less digits than its factorization.

56449440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 56449440 is about 7513.2842352729. The cubic root of 56449440 is about 383.6070198419.

The spelling of 56449440 in words is "fifty-six million, four hundred forty-nine thousand, four hundred forty".