305791980 has 144 divisors (see below), whose sum is σ = 946300320. Its totient is φ = 73721856.

The previous prime is 305791973. The next prime is 305791991. The reversal of 305791980 is 89197503.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 537136 + ... + 537704.

It is an arithmetic number, because the mean of its divisors is an integer number (6571530).

Almost surely, 2^305791980 is an apocalyptic number.

305791980 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 305791980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473150160).

305791980 is an abundant number, since it is smaller than the sum of its proper divisors (640508340).

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

305791980 is a wasteful number, since it uses less digits than its factorization.

305791980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 305791980 is about 17486.9088177413. The cubic root of 305791980 is about 673.7136764563.

The spelling of 305791980 in words is "three hundred five million, seven hundred ninety-one thousand, nine hundred eighty".