1304262432 has 192 divisors, whose sum is σ = 4263235200. Its totient is φ = 384445440.

The previous prime is 1304262431. The next prime is 1304262433. The reversal of 1304262432 is 2342624031.

1304262432 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 2 + 624 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (1304262431) and next prime (1304262433).

It is a super-2 number, since 2×1304262432² = 3402200983053109248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1304262396 and 1304262405.

It is not an unprimeable number, because it can be changed into a prime (1304262431) by changing a digit.

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, 349794 + ... + 353502.

It is an arithmetic number, because the mean of its divisors is an integer number (22204350).

Almost surely, 2^1304262432 is an apocalyptic number.

1304262432 is a gapful number since it is divisible by the number (12) 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 1304262432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131617600).

1304262432 is an abundant number, since it is smaller than the sum of its proper divisors (2958972768).

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

1304262432 is a wasteful number, since it uses less digits than its factorization.

1304262432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1304262432 is about 36114.5736787796. The cubic root of 1304262432 is about 1092.5843991861.

Adding to 1304262432 its reverse (2342624031), we get a palindrome (3646886463).

The spelling of 1304262432 in words is "one billion, three hundred four million, two hundred sixty-two thousand, four hundred thirty-two".