305442144 has 96 divisors (see below), whose sum is σ = 1018160640. Its totient is φ = 87267456.

The previous prime is 305442133. The next prime is 305442161. The reversal of 305442144 is 441244503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19204 + ... + 31299.

It is an arithmetic number, because the mean of its divisors is an integer number (10605840).

Almost surely, 2^305442144 is an apocalyptic number.

It is an amenable number.

305442144 is an abundant number, since it is smaller than the sum of its proper divisors (712718496).

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

305442144 is a wasteful number, since it uses less digits than its factorization.

305442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50529 (or 50515 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 305442144 is about 17476.9031581685. The cubic root of 305442144 is about 673.4566616128.

Adding to 305442144 its reverse (441244503), we get a palindrome (746686647).

The spelling of 305442144 in words is "three hundred five million, four hundred forty-two thousand, one hundred forty-four".