1233450400 has 144 divisors (see below), whose sum is σ = 3706262784. Its totient is φ = 390343680.

The previous prime is 1233450347. The next prime is 1233450403. The reversal of 1233450400 is 40543321.

It is not an unprimeable number, because it can be changed into a prime (1233450403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64329 + ... + 81271.

It is an arithmetic number, because the mean of its divisors is an integer number (25737936).

Almost surely, 2^1233450400 is an apocalyptic number.

1233450400 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 1233450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853131392).

1233450400 is an abundant number, since it is smaller than the sum of its proper divisors (2472812384).

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

1233450400 is a wasteful number, since it uses less digits than its factorization.

1233450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16983 (or 16970 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 1233450400 is about 35120.5125247340. The cubic root of 1233450400 is about 1072.4422045096.

Adding to 1233450400 its reverse (40543321), we get a palindrome (1273993721).

The spelling of 1233450400 in words is "one billion, two hundred thirty-three million, four hundred fifty thousand, four hundred".