305806144 has 56 divisors (see below), whose sum is σ = 696862208. Its totient is φ = 130429440.

The previous prime is 305806141. The next prime is 305806181. The reversal of 305806144 is 441608503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305806141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98374 + ... + 101434.

It is an arithmetic number, because the mean of its divisors is an integer number (12443968).

Almost surely, 2^305806144 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 305806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348431104).

305806144 is an abundant number, since it is smaller than the sum of its proper divisors (391056064).

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

305806144 is a wasteful number, since it uses less digits than its factorization.

305806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 305806144 is about 17487.3138017250. The cubic root of 305806144 is about 673.7240782259.

The spelling of 305806144 in words is "three hundred five million, eight hundred six thousand, one hundred forty-four".