456654609 has 6 divisors (see below), whose sum is σ = 659612226. Its totient is φ = 304436400.

The previous prime is 456654599. The next prime is 456654617. The reversal of 456654609 is 906456654.

456654609 is a `hidden beast` number, since 45 + 66 + 546 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 319694400 + 136960209 = 17880^2 + 11703^2 .

It is not a de Polignac number, because 456654609 - 2¹³ = 456646417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456654659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25369692 + ... + 25369709.

It is an arithmetic number, because the mean of its divisors is an integer number (109935371).

Almost surely, 2^456654609 is an apocalyptic number.

It is an amenable number.

456654609 is a deficient number, since it is larger than the sum of its proper divisors (202957617).

456654609 is a wasteful number, since it uses less digits than its factorization.

456654609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50739407 (or 50739404 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 456654609 is about 21369.4784447351. The cubic root of 456654609 is about 770.0683635260.

The spelling of 456654609 in words is "four hundred fifty-six million, six hundred fifty-four thousand, six hundred nine".