305940000 has 120 divisors (see below), whose sum is σ = 1003741200. Its totient is φ = 81568000.

The previous prime is 305939999. The next prime is 305940029. The reversal of 305940000 is 49503.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57451 + ... + 62549.

It is an arithmetic number, because the mean of its divisors is an integer number (8364510).

Almost surely, 2^305940000 is an apocalyptic number.

305940000 is a gapful number since it is divisible by the number (30) 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 305940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501870600).

305940000 is an abundant number, since it is smaller than the sum of its proper divisors (697801200).

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

305940000 is an equidigital number, since it uses as much as digits as its factorization.

305940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 305940000 is about 17491.1406146083. The cubic root of 305940000 is about 673.8223636453.

Adding to 305940000 its reverse (49503), we get a palindrome (305989503).

The spelling of 305940000 in words is "three hundred five million, nine hundred forty thousand".