1304384400 has 180 divisors, whose sum is σ = 4938233040. Its totient is φ = 316204800.

The previous prime is 1304384387. The next prime is 1304384437. The reversal of 1304384400 is 44834031.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 23131 + ... + 56069.

It is an arithmetic number, because the mean of its divisors is an integer number (27434628).

Almost surely, 2^1304384400 is an apocalyptic number.

1304384400 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 1304384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469116520).

1304384400 is an abundant number, since it is smaller than the sum of its proper divisors (3633848640).

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

1304384400 is a wasteful number, since it uses less digits than its factorization.

1304384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32974 (or 32960 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1304384400 is about 36116.2622650794. The cubic root of 1304384400 is about 1092.6184557729.

The spelling of 1304384400 in words is "one billion, three hundred four million, three hundred eighty-four thousand, four hundred".