305249280 has 352 divisors, whose sum is σ = 1188504576. Its totient is φ = 65273856.

The previous prime is 305249267. The next prime is 305249317. The reversal of 305249280 is 82942503.

It is a happy number.

305249280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1827757 + ... + 1827923.

Almost surely, 2^305249280 is an apocalyptic number.

305249280 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 305249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594252288).

305249280 is an abundant number, since it is smaller than the sum of its proper divisors (883255296).

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

305249280 is a wasteful number, since it uses less digits than its factorization.

305249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

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

The square root of 305249280 is about 17471.3846045469. The cubic root of 305249280 is about 673.3148858347.

The spelling of 305249280 in words is "three hundred five million, two hundred forty-nine thousand, two hundred eighty".