305000 has 40 divisors (see below), whose sum is σ = 726330. Its totient is φ = 120000.

The previous prime is 304981. The next prime is 305017. The reversal of 305000 is 503.

305000 = 55² + 56² + ... + 102².

It can be written as a sum of positive squares in 5 ways, for example, as 11236 + 293764 = 106^2 + 542^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

305000 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 9 ways as a sum of consecutive naturals, for example, 4970 + ... + 5030.

2³⁰⁵⁰⁰⁰ 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 305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363165).

305000 is an abundant number, since it is smaller than the sum of its proper divisors (421330).

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

305000 is an equidigital number, since it uses as much as digits as its factorization.

305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 8.

The square root of 305000 is about 552.2680508594. The cubic root of 305000 is about 67.3131549727.

Adding to 305000 its reverse (503), we get a palindrome (305503).

The spelling of 305000 in words is "three hundred five thousand".