456066005 has 16 divisors (see below), whose sum is σ = 553891824. Its totient is φ = 360460800.

The previous prime is 456065989. The next prime is 456066043. The reversal of 456066005 is 500660654.

It can be written as a sum of positive squares in 8 ways, for example, as 36881329 + 419184676 = 6073^2 + 20474^2 .

It is not a de Polignac number, because 456066005 - 2⁴ = 456065989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381689 + ... + 382881.

It is an arithmetic number, because the mean of its divisors is an integer number (34618239).

Almost surely, 2^456066005 is an apocalyptic number.

It is an amenable number.

456066005 is a deficient number, since it is larger than the sum of its proper divisors (97825819).

456066005 is a wasteful number, since it uses less digits than its factorization.

456066005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056.

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 456066005 is about 21355.7019318027. The cubic root of 456066005 is about 769.7373619369.

The spelling of 456066005 in words is "four hundred fifty-six million, sixty-six thousand, five".