305344400 has 60 divisors (see below), whose sum is σ = 743710212. Its totient is φ = 120453120.

The previous prime is 305344399. The next prime is 305344409. The reversal of 305344400 is 4443503.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4946176 + 300398224 = 2224^2 + 17332^2 .

It is a super-2 number, since 2×305344400² = 186470405222720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (305344409) 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 11 ways as a sum of consecutive naturals, for example, 23972 + ... + 34428.

Almost surely, 2^305344400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371855106).

305344400 is an abundant number, since it is smaller than the sum of its proper divisors (438365812).

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

305344400 is a wasteful number, since it uses less digits than its factorization.

305344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10548 (or 10537 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 305344400 is about 17474.1065579903. The cubic root of 305344400 is about 673.3848167237.

Adding to 305344400 its reverse (4443503), we get a palindrome (309787903).

The spelling of 305344400 in words is "three hundred five million, three hundred forty-four thousand, four hundred".