461110401 has 40 divisors (see below), whose sum is σ = 704731104. Its totient is φ = 300395520.

The previous prime is 461110381. The next prime is 461110409. The reversal of 461110401 is 104011164.

461110401 is a `hidden beast` number, since 4 + 611 + 10 + 40 + 1 = 666.

It is not a de Polignac number, because 461110401 - 2⁵ = 461110369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461110409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 719041 + ... + 719681.

Almost surely, 2^461110401 is an apocalyptic number.

It is an amenable number.

461110401 is a deficient number, since it is larger than the sum of its proper divisors (243620703).

461110401 is a wasteful number, since it uses less digits than its factorization.

461110401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 461110401 is about 21473.4813432755. The cubic root of 461110401 is about 772.5648998165.

Adding to 461110401 its reverse (104011164), we get a palindrome (565121565).

The spelling of 461110401 in words is "four hundred sixty-one million, one hundred ten thousand, four hundred one".