305980440 has 128 divisors (see below), whose sum is σ = 938520000. Its totient is φ = 79792128.

The previous prime is 305980439. The next prime is 305980457. The reversal of 305980440 is 44089503.

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, 1948842 + ... + 1948998.

Almost surely, 2^305980440 is an apocalyptic number.

305980440 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 305980440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469260000).

305980440 is an abundant number, since it is smaller than the sum of its proper divisors (632539560).

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

305980440 is a wasteful number, since it uses less digits than its factorization.

305980440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

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

The square root of 305980440 is about 17492.2965902136. The cubic root of 305980440 is about 673.8520515753.

The spelling of 305980440 in words is "three hundred five million, nine hundred eighty thousand, four hundred forty".