305408 has 18 divisors (see below), whose sum is σ = 610134. Its totient is φ = 152576.

The previous prime is 305407. The next prime is 305411. The reversal of 305408 is 804503.

It can be written as a sum of positive squares in only one way, i.e., 262144 + 43264 = 512^2 + 208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 305408.

It is not an unprimeable number, because it can be changed into a prime (305401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 341 + ... + 852.

2³⁰⁵⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

305408 is a deficient number, since it is larger than the sum of its proper divisors (304726).

305408 is an equidigital number, since it uses as much as digits as its factorization.

305408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 305408 is about 552.6373132535. The cubic root of 305408 is about 67.3431566450.

The spelling of 305408 in words is "three hundred five thousand, four hundred eight".