306464 has 24 divisors (see below), whose sum is σ = 617148. Its totient is φ = 149760.

The previous prime is 306463. The next prime is 306473. The reversal of 306464 is 464603.

It can be written as a sum of positive squares in 2 ways, for example, as 258064 + 48400 = 508^2 + 220^2 .

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306464.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1874 + ... + 2030.

2³⁰⁶⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308574).

306464 is an abundant number, since it is smaller than the sum of its proper divisors (310684).

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

306464 is a wasteful number, since it uses less digits than its factorization.

306464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 306464 is about 553.5919074553. The cubic root of 306464 is about 67.4206841570.

The spelling of 306464 in words is "three hundred six thousand, four hundred sixty-four".