1230400304 has 40 divisors (see below), whose sum is σ = 2736208800. Its totient is φ = 525040128.

The previous prime is 1230400289. The next prime is 1230400307. The reversal of 1230400304 is 4030040321.

It is not an unprimeable number, because it can be changed into a prime (1230400307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2522 + ... + 49670.

It is an arithmetic number, because the mean of its divisors is an integer number (68405220).

Almost surely, 2^1230400304 is an apocalyptic number.

1230400304 is a gapful number since it is divisible by the number (14) 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 1230400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368104400).

1230400304 is an abundant number, since it is smaller than the sum of its proper divisors (1505808496).

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

1230400304 is a wasteful number, since it uses less digits than its factorization.

1230400304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47397 (or 47391 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1230400304 is about 35077.0623627464. The cubic root of 1230400304 is about 1071.5574907492.

Adding to 1230400304 its reverse (4030040321), we get a palindrome (5260440625).

The spelling of 1230400304 in words is "one billion, two hundred thirty million, four hundred thousand, three hundred four".