456861106 has 16 divisors (see below), whose sum is σ = 738710784. Its totient is φ = 210657744.

The previous prime is 456861101. The next prime is 456861107. The reversal of 456861106 is 601168654.

It is not an unprimeable number, because it can be changed into a prime (456861101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21375 + ... + 37021.

It is an arithmetic number, because the mean of its divisors is an integer number (46169424).

Almost surely, 2^456861106 is an apocalyptic number.

456861106 is a deficient number, since it is larger than the sum of its proper divisors (281849678).

456861106 is a wasteful number, since it uses less digits than its factorization.

456861106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16785.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 456861106 is about 21374.3094859226. The cubic root of 456861106 is about 770.1844197611.

The spelling of 456861106 in words is "four hundred fifty-six million, eight hundred sixty-one thousand, one hundred six".