1304361144 has 160 divisors (see below), whose sum is σ = 3761406000. Its totient is φ = 422143488.

The previous prime is 1304361041. The next prime is 1304361161. The reversal of 1304361144 is 4411634031.

1304361144 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 3 + 611 + 44 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4167132 + ... + 4167444.

Almost surely, 2^1304361144 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 1304361144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880703000).

1304361144 is an abundant number, since it is smaller than the sum of its proper divisors (2457044856).

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

1304361144 is a wasteful number, since it uses less digits than its factorization.

1304361144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1304361144 is about 36115.9403034173. The cubic root of 1304361144 is about 1092.6119622664.

Adding to 1304361144 its reverse (4411634031), we get a palindrome (5715995175).

The spelling of 1304361144 in words is "one billion, three hundred four million, three hundred sixty-one thousand, one hundred forty-four".