456567385 has 16 divisors (see below), whose sum is σ = 580614912. Its totient is φ = 343468800.

The previous prime is 456567373. The next prime is 456567389. The reversal of 456567385 is 583765654.

It is not a de Polignac number, because 456567385 - 2⁷ = 456567257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456567389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169600 + ... + 172270.

It is an arithmetic number, because the mean of its divisors is an integer number (36288432).

Almost surely, 2^456567385 is an apocalyptic number.

It is an amenable number.

456567385 is a deficient number, since it is larger than the sum of its proper divisors (124047527).

456567385 is a wasteful number, since it uses less digits than its factorization.

456567385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704.

The product of its digits is 3024000, while the sum is 49.

The square root of 456567385 is about 21367.4374925961. The cubic root of 456567385 is about 770.0193310490.

The spelling of 456567385 in words is "four hundred fifty-six million, five hundred sixty-seven thousand, three hundred eighty-five".