1233294400 has 126 divisors (see below), whose sum is σ = 3286788702. Its totient is φ = 455270400.

The previous prime is 1233294383. The next prime is 1233294407. The reversal of 1233294400 is 44923321.

It can be written as a sum of positive squares in 9 ways, for example, as 883753984 + 349540416 = 29728^2 + 18696^2 .

It is not an unprimeable number, because it can be changed into a prime (1233294407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 268120 + ... + 272680.

Almost surely, 2^1233294400 is an apocalyptic number.

1233294400 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 1233294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643394351).

1233294400 is an abundant number, since it is smaller than the sum of its proper divisors (2053494302).

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

1233294400 is a wasteful number, since it uses less digits than its factorization.

1233294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 1233294400 is about 35118.2915301983. The cubic root of 1233294400 is about 1072.3969904127.

The spelling of 1233294400 in words is "one billion, two hundred thirty-three million, two hundred ninety-four thousand, four hundred".