1304112240 has 120 divisors (see below), whose sum is σ = 4404280608. Its totient is φ = 345807360.

The previous prime is 1304112221. The next prime is 1304112263. The reversal of 1304112240 is 422114031.

1304112240 is a `hidden beast` number, since 1 + 30 + 411 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125317 + ... + 135323.

Almost surely, 2^1304112240 is an apocalyptic number.

1304112240 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 1304112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202140304).

1304112240 is an abundant number, since it is smaller than the sum of its proper divisors (3100168368).

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

1304112240 is a wasteful number, since it uses less digits than its factorization.

1304112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10207 (or 10198 counting only the distinct ones).

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

The square root of 1304112240 is about 36112.4942367597. The cubic root of 1304112240 is about 1092.5424588190.

Adding to 1304112240 its reverse (422114031), we get a palindrome (1726226271).

It can be divided in two parts, 130411 and 2240, that added together give a cube (132651 = 51³).

The spelling of 1304112240 in words is "one billion, three hundred four million, one hundred twelve thousand, two hundred forty".