461565225 has 72 divisors (see below), whose sum is σ = 923056992. Its totient is φ = 218534400.

The previous prime is 461565217. The next prime is 461565259. The reversal of 461565225 is 522565164.

It is not a de Polignac number, because 461565225 - 2³ = 461565217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 461565225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104257 + ... + 108593.

It is an arithmetic number, because the mean of its divisors is an integer number (12820236).

Almost surely, 2^461565225 is an apocalyptic number.

461565225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461565225 is a deficient number, since it is larger than the sum of its proper divisors (461491767).

461565225 is a wasteful number, since it uses less digits than its factorization.

461565225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4399 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 461565225 is about 21484.0690978222. The cubic root of 461565225 is about 772.8188271409.

The spelling of 461565225 in words is "four hundred sixty-one million, five hundred sixty-five thousand, two hundred twenty-five".