1304312400 has 90 divisors (see below), whose sum is σ = 4526338830. Its totient is φ = 347815680.

The previous prime is 1304312363. The next prime is 1304312411. The reversal of 1304312400 is 42134031.

1304312400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 147768336 + 1156544064 = 12156^2 + 34008^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 177555 + ... + 184754.

Almost surely, 2^1304312400 is an apocalyptic number.

1304312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304312400 is an abundant number, since it is smaller than the sum of its proper divisors (3222026430).

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

1304312400 is a wasteful number, since it uses less digits than its factorization.

1304312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362333 (or 362319 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1304312400 is about 36115.2654704351. The cubic root of 1304312400 is about 1092.5983517871.

Adding to 1304312400 its reverse (42134031), we get a palindrome (1346446431).

The spelling of 1304312400 in words is "one billion, three hundred four million, three hundred twelve thousand, four hundred".