456405161 has 8 divisors (see below), whose sum is σ = 472461120. Its totient is φ = 440370448.

The previous prime is 456405151. The next prime is 456405167. The reversal of 456405161 is 161504654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456405161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456405167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47420 + ... + 56226.

It is an arithmetic number, because the mean of its divisors is an integer number (59057640).

Almost surely, 2^456405161 is an apocalyptic number.

It is an amenable number.

456405161 is a deficient number, since it is larger than the sum of its proper divisors (16055959).

456405161 is a wasteful number, since it uses less digits than its factorization.

456405161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623.

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 456405161 is about 21363.6410988389. The cubic root of 456405161 is about 769.9281211366.

The spelling of 456405161 in words is "four hundred fifty-six million, four hundred five thousand, one hundred sixty-one".