461106456 has 32 divisors (see below), whose sum is σ = 1153301760. Its totient is φ = 153630752.

The previous prime is 461106433. The next prime is 461106509. The reversal of 461106456 is 654601164.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84301 + ... + 89603.

It is an arithmetic number, because the mean of its divisors is an integer number (36040680).

Almost surely, 2^461106456 is an apocalyptic number.

It is an amenable number.

461106456 is an abundant number, since it is smaller than the sum of its proper divisors (692195304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461106456 is a wasteful number, since it uses less digits than its factorization.

461106456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8935 (or 8931 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 461106456 is about 21473.3894855936. The cubic root of 461106456 is about 772.5626966007.

The spelling of 461106456 in words is "four hundred sixty-one million, one hundred six thousand, four hundred fifty-six".