461027133 has 72 divisors (see below), whose sum is σ = 829920000. Its totient is φ = 254741760.

The previous prime is 461027117. The next prime is 461027137. The reversal of 461027133 is 331720164.

It is not a de Polignac number, because 461027133 - 2⁴ = 461027117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 461027097 and 461027106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461027137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 368493 + ... + 369741.

Almost surely, 2^461027133 is an apocalyptic number.

It is an amenable number.

461027133 is a deficient number, since it is larger than the sum of its proper divisors (368892867).

461027133 is a wasteful number, since it uses less digits than its factorization.

461027133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 461027133 is about 21471.5423991850. The cubic root of 461027133 is about 772.5183933786.

Adding to 461027133 its reverse (331720164), we get a palindrome (792747297).

It can be divided in two parts, 46102 and 7133, that added together give a palindrome (53235).

The spelling of 461027133 in words is "four hundred sixty-one million, twenty-seven thousand, one hundred thirty-three".