484484121 has 81 divisors (see below), whose sum is σ = 832795327. Its totient is φ = 271175520.

The previous prime is 484484113. The next prime is 484484129. The reversal of 484484121 is 121484484.

The square root of 484484121 is 22011.

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

It is an interprime number because it is at equal distance from previous prime (484484113) and next prime (484484129).

It can be written as a sum of positive squares in only one way, i.e., 254051721 + 230432400 = 15939^2 + 15180^2 .

It is not a de Polignac number, because 484484121 - 2³ = 484484113 is a prime.

It is a super-2 number, since 2×484484121² = 469449727002285282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (484484129) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16706335 + ... + 16706363.

Almost surely, 2^484484121 is an apocalyptic number.

484484121 is the 22011-st square number.

484484121 is the 11006-th centered octagonal number.

It is an amenable number.

484484121 is a deficient number, since it is larger than the sum of its proper divisors (348311206).

484484121 is a wasteful number, since it uses less digits than its factorization.

484484121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The cubic root of 484484121 is about 785.4041333963.

Multiplying 484484121 by its sum of digits (36), we get a square (17441428356 = 132066²).

The spelling of 484484121 in words is "four hundred eighty-four million, four hundred eighty-four thousand, one hundred twenty-one".