461457153 has 6 divisors (see below), whose sum is σ = 666549234. Its totient is φ = 307638096.

The previous prime is 461457109. The next prime is 461457181. The reversal of 461457153 is 351754164.

461457153 is a `hidden beast` number, since 461 + 45 + 7 + 153 = 666.

It can be written as a sum of positive squares in only one way, i.e., 423412929 + 38044224 = 20577^2 + 6168^2 .

It is not a de Polignac number, because 461457153 - 2⁶ = 461457089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461457053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25636500 + ... + 25636517.

It is an arithmetic number, because the mean of its divisors is an integer number (111091539).

Almost surely, 2^461457153 is an apocalyptic number.

It is an amenable number.

461457153 is a deficient number, since it is larger than the sum of its proper divisors (205092081).

461457153 is a wasteful number, since it uses less digits than its factorization.

461457153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51273023 (or 51273020 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 461457153 is about 21481.5537845846. The cubic root of 461457153 is about 772.7585058752.

The spelling of 461457153 in words is "four hundred sixty-one million, four hundred fifty-seven thousand, one hundred fifty-three".