456548689 has 9 divisors (see below), whose sum is σ = 477775963. Its totient is φ = 436228672.

The previous prime is 456548623. The next prime is 456548693. The reversal of 456548689 is 986845654.

The square root of 456548689 is 21367.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8803089 + 447745600 = 2967^2 + 21160^2 .

It is a de Polignac number, because none of the positive numbers 2^k-456548689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456545689) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 490977 + ... + 491905.

Almost surely, 2^456548689 is an apocalyptic number.

456548689 is the 21367-th square number.

456548689 is the 10684-th centered octagonal number.

It is an amenable number.

456548689 is a deficient number, since it is larger than the sum of its proper divisors (21227274).

456548689 is an frugal number, since it uses more digits than its factorization.

456548689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 952 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 55.

The cubic root of 456548689 is about 770.0088203858.

The spelling of 456548689 in words is "four hundred fifty-six million, five hundred forty-eight thousand, six hundred eighty-nine".