305638080 has 224 divisors, whose sum is σ = 1072700928. Its totient is φ = 73113600.

The previous prime is 305638063. The next prime is 305638111. The reversal of 305638080 is 80836503.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1087540 + ... + 1087820.

Almost surely, 2^305638080 is an apocalyptic number.

305638080 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 305638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536350464).

305638080 is an abundant number, since it is smaller than the sum of its proper divisors (767062848).

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

305638080 is a wasteful number, since it uses less digits than its factorization.

305638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 305638080 is about 17482.5078292561. The cubic root of 305638080 is about 673.6006345403.

The spelling of 305638080 in words is "three hundred five million, six hundred thirty-eight thousand, eighty".