481144225 has 27 divisors (see below), whose sum is σ = 617294041. Its totient is φ = 372017600.

The previous prime is 481144193. The next prime is 481144231. The reversal of 481144225 is 522441184.

The square root of 481144225 is 21935.

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

It can be written as a sum of positive squares in 4 ways, for example, as 202521361 + 278622864 = 14231^2 + 16692^2 .

It is not a de Polignac number, because 481144225 - 2⁵ = 481144193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4496622 + ... + 4496728.

Almost surely, 2^481144225 is an apocalyptic number.

481144225 is the 21935-th square number.

481144225 is the 10968-th centered octagonal number.

It is an amenable number.

481144225 is a deficient number, since it is larger than the sum of its proper divisors (136149816).

481144225 is an equidigital number, since it uses as much as digits as its factorization.

481144225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its digits is 10240, while the sum is 31.

The cubic root of 481144225 is about 783.5951858348.

The spelling of 481144225 in words is "four hundred eighty-one million, one hundred forty-four thousand, two hundred twenty-five".