1304423120 has 360 divisors, whose sum is σ = 4190758560. Its totient is φ = 373201920.

The previous prime is 1304423111. The next prime is 1304423129. The reversal of 1304423120 is 213244031.

It is an interprime number because it is at equal distance from previous prime (1304423111) and next prime (1304423129).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1304423092 and 1304423101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304423129) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7287191 + ... + 7287369.

It is an arithmetic number, because the mean of its divisors is an integer number (11640996).

Almost surely, 2^1304423120 is an apocalyptic number.

1304423120 is a gapful number since it is divisible by the number (10) 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 1304423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095379280).

1304423120 is an abundant number, since it is smaller than the sum of its proper divisors (2886335440).

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

1304423120 is a wasteful number, since it uses less digits than its factorization.

1304423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1304423120 is about 36116.7983077127. The cubic root of 1304423120 is about 1092.6292669438.

Adding to 1304423120 its reverse (213244031), we get a palindrome (1517667151).

Subtracting from 1304423120 its reverse (213244031), we obtain a square (1091179089 = 33033²).

It can be divided in two parts, 1304 and 423120, that added together give a palindrome (424424).

The spelling of 1304423120 in words is "one billion, three hundred four million, four hundred twenty-three thousand, one hundred twenty".