305442360 has 128 divisors (see below), whose sum is σ = 1022817600. Its totient is φ = 81077760.

The previous prime is 305442359. The next prime is 305442367. The reversal of 305442360 is 63244503.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305442367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298650 + ... + 299670.

Almost surely, 2^305442360 is an apocalyptic number.

305442360 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 305442360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511408800).

305442360 is an abundant number, since it is smaller than the sum of its proper divisors (717375240).

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

305442360 is a wasteful number, since it uses less digits than its factorization.

305442360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 305442360 is about 17476.9093377519. The cubic root of 305442360 is about 673.4568203626.

Adding to 305442360 its reverse (63244503), we get a palindrome (368686863).

The spelling of 305442360 in words is "three hundred five million, four hundred forty-two thousand, three hundred sixty".