305830890 has 80 divisors (see below), whose sum is σ = 842493960. Its totient is φ = 79557120.

The previous prime is 305830873. The next prime is 305830891. The reversal of 305830890 is 98038503.

It can be written as a sum of positive squares in 4 ways, for example, as 106936281 + 198894609 = 10341^2 + 14103^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305830891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28606 + ... + 37814.

Almost surely, 2^305830890 is an apocalyptic number.

305830890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305830890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421246980).

305830890 is an abundant number, since it is smaller than the sum of its proper divisors (536663070).

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

305830890 is a wasteful number, since it uses less digits than its factorization.

305830890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9269 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 305830890 is about 17488.0213288982. The cubic root of 305830890 is about 673.7422504424.

The spelling of 305830890 in words is "three hundred five million, eight hundred thirty thousand, eight hundred ninety".