468000225 has 216 divisors, whose sum is σ = 1131275808. Its totient is φ = 182246400.

The previous prime is 468000223. The next prime is 468000227. The reversal of 468000225 is 522000864.

It is an interprime number because it is at equal distance from previous prime (468000223) and next prime (468000227).

It is not a de Polignac number, because 468000225 - 2¹ = 468000223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468000223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2061562 + ... + 2061788.

It is an arithmetic number, because the mean of its divisors is an integer number (5237388).

Almost surely, 2^468000225 is an apocalyptic number.

468000225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468000225 is an abundant number, since it is smaller than the sum of its proper divisors (663275583).

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

468000225 is a wasteful number, since it uses less digits than its factorization.

468000225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 468000225 is about 21633.3128530977. The cubic root of 468000225 is about 776.3937320877.

The spelling of 468000225 in words is "four hundred sixty-eight million, two hundred twenty-five", and thus it is an aban number.