461633106 has 32 divisors (see below), whose sum is σ = 1008417600. Its totient is φ = 139719680.

The previous prime is 461633099. The next prime is 461633131. The reversal of 461633106 is 601336164.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57550 + ... + 65078.

It is an arithmetic number, because the mean of its divisors is an integer number (31513050).

Almost surely, 2^461633106 is an apocalyptic number.

461633106 is an abundant number, since it is smaller than the sum of its proper divisors (546784494).

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

461633106 is a wasteful number, since it uses less digits than its factorization.

461633106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8474.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 461633106 is about 21485.6488382362. The cubic root of 461633106 is about 772.8567106587.

The spelling of 461633106 in words is "four hundred sixty-one million, six hundred thirty-three thousand, one hundred six".