456406105 has 16 divisors (see below), whose sum is σ = 556792704. Its totient is φ = 359080960.

The previous prime is 456406103. The next prime is 456406109. The reversal of 456406105 is 501604654.

It is not a de Polignac number, because 456406105 - 2¹ = 456406103 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456406103) 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, 164409 + ... + 167161.

It is an arithmetic number, because the mean of its divisors is an integer number (34799544).

Almost surely, 2^456406105 is an apocalyptic number.

It is an amenable number.

456406105 is a deficient number, since it is larger than the sum of its proper divisors (100386599).

456406105 is a wasteful number, since it uses less digits than its factorization.

456406105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296.

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 456406105 is about 21363.6631924396. The cubic root of 456406105 is about 769.9286519600.

The spelling of 456406105 in words is "four hundred fifty-six million, four hundred six thousand, one hundred five".