1234320400 has 60 divisors (see below), whose sum is σ = 2982763332. Its totient is φ = 490846720.

The previous prime is 1234320391. The next prime is 1234320401. The reversal of 1234320400 is 40234321.

It can be written as a sum of positive squares in 6 ways, for example, as 104284944 + 1130035456 = 10212^2 + 33616^2 .

It is not an unprimeable number, because it can be changed into a prime (1234320401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60282 + ... + 78118.

Almost surely, 2^1234320400 is an apocalyptic number.

1234320400 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 1234320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491381666).

1234320400 is an abundant number, since it is smaller than the sum of its proper divisors (1748442932).

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

1234320400 is a wasteful number, since it uses less digits than its factorization.

1234320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18028 (or 18017 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1234320400 is about 35132.8962654661. The cubic root of 1234320400 is about 1072.6942901596.

Adding to 1234320400 its reverse (40234321), we get a palindrome (1274554721).

The spelling of 1234320400 in words is "one billion, two hundred thirty-four million, three hundred twenty thousand, four hundred".