1304387644 has 72 divisors (see below), whose sum is σ = 2735033280. Its totient is φ = 542505600.

The previous prime is 1304387573. The next prime is 1304387659. The reversal of 1304387644 is 4467834031.

It is a junction number, because it is equal to n+sod(n) for n = 1304387597 and 1304387606.

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 23 ways as a sum of consecutive naturals, for example, 943834 + ... + 945214.

Almost surely, 2^1304387644 is an apocalyptic number.

1304387644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304387644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367516640).

1304387644 is an abundant number, since it is smaller than the sum of its proper divisors (1430645636).

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

1304387644 is a wasteful number, since it uses less digits than its factorization.

1304387644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 1304387644 is about 36116.3071755682. The cubic root of 1304387644 is about 1092.6193615517.

It can be divided in two parts, 1304387 and 644, that added together give a palindrome (1305031).

The spelling of 1304387644 in words is "one billion, three hundred four million, three hundred eighty-seven thousand, six hundred forty-four".