1304520444 has 96 divisors (see below), whose sum is σ = 3475180800. Its totient is φ = 423028800.

The previous prime is 1304520431. The next prime is 1304520457. The reversal of 1304520444 is 4440254031.

It is a happy number.

1304520444 is a `hidden beast` number, since 130 + 4 + 520 + 4 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1304520431) and next prime (1304520457).

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642559 + ... + 644585.

It is an arithmetic number, because the mean of its divisors is an integer number (36199800).

Almost surely, 2^1304520444 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 1304520444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737590400).

1304520444 is an abundant number, since it is smaller than the sum of its proper divisors (2170660356).

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

1304520444 is a wasteful number, since it uses less digits than its factorization.

1304520444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2192 counting only the distinct ones).

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

The square root of 1304520444 is about 36118.1456334624. The cubic root of 1304520444 is about 1092.6564402346.

Adding to 1304520444 its reverse (4440254031), we get a palindrome (5744774475).

It can be divided in two parts, 13045 and 20444, that added together give a square (33489 = 183²).

The spelling of 1304520444 in words is "one billion, three hundred four million, five hundred twenty thousand, four hundred forty-four".