1304401120 has 48 divisors (see below), whose sum is σ = 3361801968. Its totient is φ = 474327040.

The previous prime is 1304401099. The next prime is 1304401127. The reversal of 1304401120 is 211044031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1304401094 and 1304401103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304401127) 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 7 ways as a sum of consecutive naturals, for example, 368809 + ... + 372328.

It is an arithmetic number, because the mean of its divisors is an integer number (70037541).

Almost surely, 2^1304401120 is an apocalyptic number.

1304401120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304401120 is an abundant number, since it is smaller than the sum of its proper divisors (2057400848).

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

1304401120 is a wasteful number, since it uses less digits than its factorization.

1304401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741163 (or 741155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1304401120 is about 36116.4937390107. The cubic root of 1304401120 is about 1092.6231242593.

Adding to 1304401120 its reverse (211044031), we get a palindrome (1515445151).

It can be divided in two parts, 13044011 and 20, that added together give a palindrome (13044031).

The spelling of 1304401120 in words is "one billion, three hundred four million, four hundred one thousand, one hundred twenty".