305802840 has 128 divisors (see below), whose sum is σ = 1063042560. Its totient is φ = 68926464.

The previous prime is 305802839. The next prime is 305802857. The reversal of 305802840 is 48208503.

305802840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 305802798 and 305802807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58827 + ... + 63813.

It is an arithmetic number, because the mean of its divisors is an integer number (8305020).

Almost surely, 2^305802840 is an apocalyptic number.

305802840 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 305802840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531521280).

305802840 is an abundant number, since it is smaller than the sum of its proper divisors (757239720).

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

305802840 is a wasteful number, since it uses less digits than its factorization.

305802840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 305802840 is about 17487.2193329872. The cubic root of 305802840 is about 673.7216518605.

The spelling of 305802840 in words is "three hundred five million, eight hundred two thousand, eight hundred forty".