1304094400 has 84 divisors (see below), whose sum is σ = 3667331248. Its totient is φ = 447114240.

The previous prime is 1304094349. The next prime is 1304094401. The reversal of 1304094400 is 44904031.

It is a happy number.

It is a super-2 number, since 2×1304094400² = 3401324408222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1304094401) 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, 47019 + ... + 69418.

Almost surely, 2^1304094400 is an apocalyptic number.

1304094400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304094400 is an abundant number, since it is smaller than the sum of its proper divisors (2363236848).

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

1304094400 is a wasteful number, since it uses less digits than its factorization.

1304094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116466 (or 116451 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1304094400 is about 36112.2472299911. The cubic root of 1304094400 is about 1092.5374768740.

Adding to 1304094400 its reverse (44904031), we get a palindrome (1348998431).

The spelling of 1304094400 in words is "one billion, three hundred four million, ninety-four thousand, four hundred".