1304414144 has 112 divisors (see below), whose sum is σ = 3002158080. Its totient is φ = 556093440.

The previous prime is 1304414143. The next prime is 1304414149. The reversal of 1304414144 is 4414144031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304414141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1511057 + ... + 1511919.

Almost surely, 2^1304414144 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 1304414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501079040).

1304414144 is an abundant number, since it is smaller than the sum of its proper divisors (1697743936).

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

1304414144 is a wasteful number, since it uses less digits than its factorization.

1304414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 1304414144 is about 36116.6740439925. The cubic root of 1304414144 is about 1092.6267607368.

Adding to 1304414144 its reverse (4414144031), we get a palindrome (5718558175).

The spelling of 1304414144 in words is "one billion, three hundred four million, four hundred fourteen thousand, one hundred forty-four".