56456289 has 24 divisors (see below), whose sum is σ = 84307392. Its totient is φ = 36385440.

The previous prime is 56456261. The next prime is 56456297. The reversal of 56456289 is 98265465.

56456289 is a `hidden beast` number, since 5 + 6 + 4 + 562 + 89 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-56456289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56454289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33034 + ... + 34700.

It is an arithmetic number, because the mean of its divisors is an integer number (3512808).

Almost surely, 2^56456289 is an apocalyptic number.

It is an amenable number.

56456289 is a deficient number, since it is larger than the sum of its proper divisors (27851103).

56456289 is a wasteful number, since it uses less digits than its factorization.

56456289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1794 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 56456289 is about 7513.7400141341. The cubic root of 56456289 is about 383.6225335371.

The spelling of 56456289 in words is "fifty-six million, four hundred fifty-six thousand, two hundred eighty-nine".