1304400400 has 60 divisors (see below), whose sum is σ = 3200545152. Its totient is φ = 510651520.

The previous prime is 1304400397. The next prime is 1304400401. The reversal of 1304400400 is 40044031.

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

It is not an unprimeable number, because it can be changed into a prime (1304400401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15892 + ... + 53491.

Almost surely, 2^1304400400 is an apocalyptic number.

1304400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304400400 is an abundant number, since it is smaller than the sum of its proper divisors (1896144752).

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

1304400400 is a wasteful number, since it uses less digits than its factorization.

1304400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69448 (or 69437 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1304400400 is about 36116.4837712643. The cubic root of 1304400400 is about 1092.6229232248.

Adding to 1304400400 its reverse (40044031), we get a palindrome (1344444431).

The spelling of 1304400400 in words is "one billion, three hundred four million, four hundred thousand, four hundred".