56465040 has 80 divisors (see below), whose sum is σ = 176328000. Its totient is φ = 14946816.

The previous prime is 56465027. The next prime is 56465047. The reversal of 56465040 is 4056465.

56465040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56464989 and 56465007.

It is not an unprimeable number, because it can be changed into a prime (56465047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34971 + ... + 36549.

It is an arithmetic number, because the mean of its divisors is an integer number (2204100).

Almost surely, 2^56465040 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 56465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88164000).

56465040 is an abundant number, since it is smaller than the sum of its proper divisors (119862960).

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

56465040 is a wasteful number, since it uses less digits than its factorization.

56465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 56465040 is about 7514.3223247343. The cubic root of 56465040 is about 383.6423536340.

The spelling of 56465040 in words is "fifty-six million, four hundred sixty-five thousand, forty".