306400 has 36 divisors (see below), whose sum is σ = 749952. Its totient is φ = 122240.

The previous prime is 306389. The next prime is 306407. The reversal of 306400 is 4603.

306400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 609 + ... + 991.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2³⁰⁶⁴⁰⁰ 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 306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

306400 is an abundant number, since it is smaller than the sum of its proper divisors (443552).

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

306400 is a wasteful number, since it uses less digits than its factorization.

306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 306400 is about 553.5341001239. The cubic root of 306400 is about 67.4159905941.

The spelling of 306400 in words is "three hundred six thousand, four hundred".