306468 has 18 divisors (see below), whose sum is σ = 774774. Its totient is φ = 102144.

The previous prime is 306463. The next prime is 306473. The reversal of 306468 is 864603.

It is an interprime number because it is at equal distance from previous prime (306463) and next prime (306473).

It can be written as a sum of positive squares in only one way, i.e., 304704 + 1764 = 552^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306468.

It is not an unprimeable number, because it can be changed into a prime (306463) by changing a digit.

306468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4221 + ... + 4292.

It is an arithmetic number, because the mean of its divisors is an integer number (43043).

2³⁰⁶⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

306468 is an abundant number, since it is smaller than the sum of its proper divisors (468306).

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

306468 is a wasteful number, since it uses less digits than its factorization.

306468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 306468 is about 553.5955202131. The cubic root of 306468 is about 67.4209774830.

The spelling of 306468 in words is "three hundred six thousand, four hundred sixty-eight".