1233332400 has 60 divisors (see below), whose sum is σ = 3950778632. Its totient is φ = 328888320.

The previous prime is 1233332393. The next prime is 1233332411. The reversal of 1233332400 is 42333321.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×1233332400³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 512689 + ... + 515088.

Almost surely, 2^1233332400 is an apocalyptic number.

1233332400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233332400 is an abundant number, since it is smaller than the sum of its proper divisors (2717446232).

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

1233332400 is a wasteful number, since it uses less digits than its factorization.

1233332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027798 (or 1027787 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 1233332400 is about 35118.8325546280. The cubic root of 1233332400 is about 1072.4080044542.

Adding to 1233332400 its reverse (42333321), we get a palindrome (1275665721).

The spelling of 1233332400 in words is "one billion, two hundred thirty-three million, three hundred thirty-two thousand, four hundred".