468216125 has 48 divisors (see below), whose sum is σ = 669147024. Its totient is φ = 325094400.

The previous prime is 468216109. The next prime is 468216131. The reversal of 468216125 is 521612864.

It can be written as a sum of positive squares in 24 ways, for example, as 367795684 + 100420441 = 19178^2 + 10021^2 .

It is not a de Polignac number, because 468216125 - 2⁴ = 468216109 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 469127 + ... + 470123.

It is an arithmetic number, because the mean of its divisors is an integer number (13940563).

Almost surely, 2^468216125 is an apocalyptic number.

It is an amenable number.

468216125 is a deficient number, since it is larger than the sum of its proper divisors (200930899).

468216125 is a wasteful number, since it uses less digits than its factorization.

468216125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1032 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 468216125 is about 21638.3022670449. The cubic root of 468216125 is about 776.5131035667.

Adding to 468216125 its reverse (521612864), we get a palindrome (989828989).

The spelling of 468216125 in words is "four hundred sixty-eight million, two hundred sixteen thousand, one hundred twenty-five".