305449344 has 192 divisors, whose sum is σ = 935625600. Its totient is φ = 95477760.

The previous prime is 305449321. The next prime is 305449349. The reversal of 305449344 is 443944503.

It is a happy number.

305449344 is a `hidden beast` number, since 305 + 4 + 4 + 9 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×305449344³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 305449299 and 305449308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305449349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1369617 + ... + 1369839.

It is an arithmetic number, because the mean of its divisors is an integer number (4873050).

Almost surely, 2^305449344 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 305449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467812800).

305449344 is an abundant number, since it is smaller than the sum of its proper divisors (630176256).

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

305449344 is a wasteful number, since it uses less digits than its factorization.

305449344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 305449344 is about 17477.1091431049. The cubic root of 305449344 is about 673.4619532312.

The spelling of 305449344 in words is "three hundred five million, four hundred forty-nine thousand, three hundred forty-four".