1333306400 has 72 divisors (see below), whose sum is σ = 3260041344. Its totient is φ = 532486400.

The previous prime is 1333306393. The next prime is 1333306409. The reversal of 1333306400 is 46033331.

It is not an unprimeable number, because it can be changed into a prime (1333306409) 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 11 ways as a sum of consecutive naturals, for example, 881645 + ... + 883155.

It is an arithmetic number, because the mean of its divisors is an integer number (45278352).

Almost surely, 2^1333306400 is an apocalyptic number.

1333306400 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 1333306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630020672).

1333306400 is an abundant number, since it is smaller than the sum of its proper divisors (1926734944).

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

1333306400 is a wasteful number, since it uses less digits than its factorization.

1333306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

The square root of 1333306400 is about 36514.4683652932. The cubic root of 1333306400 is about 1100.6350052560.

Adding to 1333306400 its reverse (46033331), we get a palindrome (1379339731).

The spelling of 1333306400 in words is "one billion, three hundred thirty-three million, three hundred six thousand, four hundred".