481563225 has 120 divisors (see below), whose sum is σ = 1048599552. Its totient is φ = 215395200.

The previous prime is 481563217. The next prime is 481563239. The reversal of 481563225 is 522365184.

481563225 is a `hidden beast` number, since 4 + 8 + 15 + 632 + 2 + 5 = 666.

It is not a de Polignac number, because 481563225 - 2³ = 481563217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 481563225.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 288744 + ... + 290406.

Almost surely, 2^481563225 is an apocalyptic number.

481563225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481563225 is an abundant number, since it is smaller than the sum of its proper divisors (567036327).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

481563225 is a wasteful number, since it uses less digits than its factorization.

481563225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1695 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 481563225 is about 21944.5488675434. The cubic root of 481563225 is about 783.8225820466.

The spelling of 481563225 in words is "four hundred eighty-one million, five hundred sixty-three thousand, two hundred twenty-five".