456861105 has 24 divisors (see below), whose sum is σ = 817440000. Its totient is φ = 235798560.

The previous prime is 456861101. The next prime is 456861107. The reversal of 456861105 is 501168654.

It is not a de Polignac number, because 456861105 - 2² = 456861101 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 456861105.

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 23 ways as a sum of consecutive naturals, for example, 162355 + ... + 165144.

It is an arithmetic number, because the mean of its divisors is an integer number (34060000).

Almost surely, 2^456861105 is an apocalyptic number.

456861105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456861105 is a deficient number, since it is larger than the sum of its proper divisors (360578895).

456861105 is a wasteful number, since it uses less digits than its factorization.

456861105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327541 (or 327538 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 456861105 is about 21374.3094625300. The cubic root of 456861105 is about 770.1844191992.

The spelling of 456861105 in words is "four hundred fifty-six million, eight hundred sixty-one thousand, one hundred five".