1304241120 has 576 divisors, whose sum is σ = 5646775680. Its totient is φ = 266747904.

The previous prime is 1304241089. The next prime is 1304241121. The reversal of 1304241120 is 211424031.

1304241120 is a `hidden beast` number, since 1 + 304 + 241 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1304241093 and 1304241102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304241121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4848346 + ... + 4848614.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2^1304241120 is an apocalyptic number.

1304241120 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 1304241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823387840).

1304241120 is an abundant number, since it is smaller than the sum of its proper divisors (4342534560).

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

1304241120 is a wasteful number, since it uses less digits than its factorization.

1304241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1304241120 is about 36114.2786166358. The cubic root of 1304241120 is about 1092.5784481124.

Adding to 1304241120 its reverse (211424031), we get a palindrome (1515665151).

The spelling of 1304241120 in words is "one billion, three hundred four million, two hundred forty-one thousand, one hundred twenty".