1304240000 has 320 divisors, whose sum is σ = 3957608160. Its totient is φ = 417792000.

The previous prime is 1304239987. The next prime is 1304240027. The reversal of 1304240000 is 424031.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9519932 + ... + 9520068.

Almost surely, 2^1304240000 is an apocalyptic number.

1304240000 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 1304240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978804080).

1304240000 is an abundant number, since it is smaller than the sum of its proper divisors (2653368160).

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

1304240000 is an equidigital number, since it uses as much as digits as its factorization.

1304240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1304240000 is about 36114.2631103003. The cubic root of 1304240000 is about 1092.5781353665.

Adding to 1304240000 its reverse (424031), we get a palindrome (1304664031).

The spelling of 1304240000 in words is "one billion, three hundred four million, two hundred forty thousand".