1329564800 has 48 divisors (see below), whose sum is σ = 3284448450. Its totient is φ = 531824640.

The previous prime is 1329564793. The next prime is 1329564809. The reversal of 1329564800 is 84659231.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 967956544 + 361608256 = 31112^2 + 19016^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1329564809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204545 + ... + 210944.

Almost surely, 2^1329564800 is an apocalyptic number.

1329564800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1329564800 is an abundant number, since it is smaller than the sum of its proper divisors (1954883650).

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

1329564800 is an equidigital number, since it uses as much as digits as its factorization.

1329564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415513 (or 415496 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 1329564800 is about 36463.1978849908. The cubic root of 1329564800 is about 1099.6044859059.

The spelling of 1329564800 in words is "one billion, three hundred twenty-nine million, five hundred sixty-four thousand, eight hundred".