461777121 has 81 divisors (see below), whose sum is σ = 789473529. Its totient is φ = 259930944.

The previous prime is 461777111. The next prime is 461777149. The reversal of 461777121 is 121777164.

The square root of 461777121 is 21489.

It is a perfect power (a square), and thus also a powerful number.

461777121 is a `hidden beast` number, since 461 + 7 + 77 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59213025 + 402564096 = 7695^2 + 20064^2 .

It is not a de Polignac number, because 461777121 - 2⁵ = 461777089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461777111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15923335 + ... + 15923363.

Almost surely, 2^461777121 is an apocalyptic number.

461777121 is the 21489-th square number.

461777121 is the 10745-th centered octagonal number.

It is an amenable number.

461777121 is a deficient number, since it is larger than the sum of its proper divisors (327696408).

461777121 is a wasteful number, since it uses less digits than its factorization.

461777121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The cubic root of 461777121 is about 772.9370712925.

Multiplying 461777121 by its sum of digits (36), we get a square (16623976356 = 128934²).

The spelling of 461777121 in words is "four hundred sixty-one million, seven hundred seventy-seven thousand, one hundred twenty-one".