305368 has 48 divisors (see below), whose sum is σ = 718200. Its totient is φ = 120960.

The previous prime is 305363. The next prime is 305369. The reversal of 305368 is 863503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7428 + ... + 7468.

2³⁰⁵³⁶⁸ is an apocalyptic number.

305368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359100).

305368 is an abundant number, since it is smaller than the sum of its proper divisors (412832).

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

305368 is a wasteful number, since it uses less digits than its factorization.

305368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 305368 is about 552.6011219677. The cubic root of 305368 is about 67.3402164864.

The spelling of 305368 in words is "three hundred five thousand, three hundred sixty-eight".