305260020 has 144 divisors (see below), whose sum is σ = 1003871232. Its totient is φ = 74638080.

The previous prime is 305260001. The next prime is 305260037. The reversal of 305260020 is 20062503.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 305259975 and 305260002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446599 + ... + 447281.

It is an arithmetic number, because the mean of its divisors is an integer number (6971328).

Almost surely, 2^305260020 is an apocalyptic number.

305260020 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 305260020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501935616).

305260020 is an abundant number, since it is smaller than the sum of its proper divisors (698611212).

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

305260020 is a wasteful number, since it uses less digits than its factorization.

305260020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 305260020 is about 17471.6919615703. The cubic root of 305260020 is about 673.3227824595.

The spelling of 305260020 in words is "three hundred five million, two hundred sixty thousand, twenty".