1332434400 has 288 divisors, whose sum is σ = 4850689536. Its totient is φ = 314880000.

The previous prime is 1332434399. The next prime is 1332434423. The reversal of 1332434400 is 44342331.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081785 + ... + 1083015.

It is an arithmetic number, because the mean of its divisors is an integer number (16842672).

Almost surely, 2^1332434400 is an apocalyptic number.

1332434400 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 1332434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425344768).

1332434400 is an abundant number, since it is smaller than the sum of its proper divisors (3518255136).

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

1332434400 is a wasteful number, since it uses less digits than its factorization.

1332434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1332434400 is about 36502.5259399949. The cubic root of 1332434400 is about 1100.3950096503.

Adding to 1332434400 its reverse (44342331), we get a palindrome (1376776731).

The spelling of 1332434400 in words is "one billion, three hundred thirty-two million, four hundred thirty-four thousand, four hundred".