305980416 has 440 divisors, whose sum is σ = 1141341696. Its totient is φ = 79626240.

The previous prime is 305980397. The next prime is 305980439. The reversal of 305980416 is 614089503.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9870321 + ... + 9870351.

Almost surely, 2^305980416 is an apocalyptic number.

305980416 is a gapful number since it is divisible by the number (36) 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 305980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570670848).

305980416 is an abundant number, since it is smaller than the sum of its proper divisors (835361280).

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

305980416 is a wasteful number, since it uses less digits than its factorization.

305980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 305980416 is about 17492.2959041974. The cubic root of 305980416 is about 673.8520339571.

The spelling of 305980416 in words is "three hundred five million, nine hundred eighty thousand, four hundred sixteen".