305302920 has 256 divisors, whose sum is σ = 1052835840. Its totient is φ = 70253568.

The previous prime is 305302919. The next prime is 305302927. The reversal of 305302920 is 29203503.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (305302927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2403897 + ... + 2404023.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2^305302920 is an apocalyptic number.

305302920 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 305302920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526417920).

305302920 is an abundant number, since it is smaller than the sum of its proper divisors (747532920).

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

305302920 is a wasteful number, since it uses less digits than its factorization.

305302920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 305302920 is about 17472.9196186556. The cubic root of 305302920 is about 673.3543229959.

The spelling of 305302920 in words is "three hundred five million, three hundred two thousand, nine hundred twenty".