1233430400 has 192 divisors, whose sum is σ = 3187296000. Its totient is φ = 471275520.

The previous prime is 1233430399. The next prime is 1233430417. The reversal of 1233430400 is 40343321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8873531 + ... + 8873669.

It is an arithmetic number, because the mean of its divisors is an integer number (16600500).

Almost surely, 2^1233430400 is an apocalyptic number.

1233430400 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 1233430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648000).

1233430400 is an abundant number, since it is smaller than the sum of its proper divisors (1953865600).

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

1233430400 is a wasteful number, since it uses less digits than its factorization.

1233430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1233430400 is about 35120.2277896941. The cubic root of 1233430400 is about 1072.4364080435.

Adding to 1233430400 its reverse (40343321), we get a palindrome (1273773721).

The spelling of 1233430400 in words is "one billion, two hundred thirty-three million, four hundred thirty thousand, four hundred".