305441040 has 160 divisors (see below), whose sum is σ = 1026470016. Its totient is φ = 74833920.

The previous prime is 305441039. The next prime is 305441063. The reversal of 305441040 is 40144503.

It is a junction number, because it is equal to n+sod(n) for n = 305440998 and 305441016.

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, 174570 + ... + 176310.

Almost surely, 2^305441040 is an apocalyptic number.

305441040 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 305441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513235008).

305441040 is an abundant number, since it is smaller than the sum of its proper divisors (721028976).

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

305441040 is a wasteful number, since it uses less digits than its factorization.

305441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 305441040 is about 17476.8715735969. The cubic root of 305441040 is about 673.4558502239.

Adding to 305441040 its reverse (40144503), we get a palindrome (345585543).

The spelling of 305441040 in words is "three hundred five million, four hundred forty-one thousand, forty".