305388480 has 112 divisors (see below), whose sum is σ = 1011838464. Its totient is φ = 77890560.

The previous prime is 305388467. The next prime is 305388571. The reversal of 305388480 is 84883503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15165 + ... + 28995.

It is an arithmetic number, because the mean of its divisors is an integer number (9034272).

Almost surely, 2^305388480 is an apocalyptic number.

305388480 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 305388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505919232).

305388480 is an abundant number, since it is smaller than the sum of its proper divisors (706449984).

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

305388480 is a wasteful number, since it uses less digits than its factorization.

305388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13874 (or 13864 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 305388480 is about 17475.3678072881. The cubic root of 305388480 is about 673.4172187966.

The spelling of 305388480 in words is "three hundred five million, three hundred eighty-eight thousand, four hundred eighty".