1304431744 has 256 divisors, whose sum is σ = 3441888000. Its totient is φ = 487710720.

The previous prime is 1304431697. The next prime is 1304431759. The reversal of 1304431744 is 4471344031.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17868892 + ... + 17868964.

It is an arithmetic number, because the mean of its divisors is an integer number (13444875).

Almost surely, 2^1304431744 is an apocalyptic number.

1304431744 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 1304431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720944000).

1304431744 is an abundant number, since it is smaller than the sum of its proper divisors (2137456256).

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

1304431744 is an equidigital number, since it uses as much as digits as its factorization.

1304431744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 1304431744 is about 36116.9176979432. The cubic root of 1304431744 is about 1092.6316748573.

Adding to 1304431744 its reverse (4471344031), we get a palindrome (5775775775).

The spelling of 1304431744 in words is "one billion, three hundred four million, four hundred thirty-one thousand, seven hundred forty-four".