1329331600 has 45 divisors (see below), whose sum is σ = 3195472033. Its totient is φ = 531440960.

The previous prime is 1329331583. The next prime is 1329331603. The reversal of 1329331600 is 61339231.

The square root of 1329331600 is 36460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 478559376 + 850772224 = 21876^2 + 29168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1329331603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 728289 + ... + 730111.

Almost surely, 2^1329331600 is an apocalyptic number.

1329331600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1329331600 is the 36460-th square number.

It is an amenable number.

1329331600 is an abundant number, since it is smaller than the sum of its proper divisors (1866140433).

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

1329331600 is an frugal number, since it uses more digits than its factorization.

1329331600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The cubic root of 1329331600 is about 1099.5401934999.

Multiplying 1329331600 by its product of nonzero digits (2916), we get a square (3876330945600 = 1968840²).

It can be divided in two parts, 1329 and 331600, that added together give a square (332929 = 577²).

The spelling of 1329331600 in words is "one billion, three hundred twenty-nine million, three hundred thirty-one thousand, six hundred".