468246321 has 9 divisors (see below), whose sum is σ = 676449579. Its totient is φ = 312120936.

The previous prime is 468246299. The next prime is 468246323. The reversal of 468246321 is 123642864.

The square root of 468246321 is 21639.

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

It can be written as a sum of positive squares in only one way, i.e., 387893025 + 80353296 = 19695^2 + 8964^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 468246321 - 2¹⁹ = 467722033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468246323) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61311 + ... + 68523.

Almost surely, 2^468246321 is an apocalyptic number.

468246321 is the 21639-th square number.

468246321 is the 10820-th centered octagonal number.

It is an amenable number.

468246321 is a deficient number, since it is larger than the sum of its proper divisors (208203258).

468246321 is an frugal number, since it uses more digits than its factorization.

468246321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14432 (or 7216 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 468246321 is about 776.5297960614.

Multiplying 468246321 by its sum of digits (36), we get a square (16856867556 = 129834²).

The spelling of 468246321 in words is "four hundred sixty-eight million, two hundred forty-six thousand, three hundred twenty-one".