1330032400 has 60 divisors (see below), whose sum is σ = 3383385012. Its totient is φ = 500715520.

The previous prime is 1330032391. The next prime is 1330032413. The reversal of 1330032400 is 42300331.

It can be written as a sum of positive squares in 6 ways, for example, as 77721856 + 1252310544 = 8816^2 + 35388^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90997 + ... + 104596.

Almost surely, 2^1330032400 is an apocalyptic number.

1330032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330032400 is an abundant number, since it is smaller than the sum of its proper divisors (2053352612).

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

1330032400 is a wasteful number, since it uses less digits than its factorization.

1330032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195628 (or 195617 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1330032400 is about 36469.6092657983. The cubic root of 1330032400 is about 1099.7333789070.

Adding to 1330032400 its reverse (42300331), we get a palindrome (1372332731).

The spelling of 1330032400 in words is "one billion, three hundred thirty million, thirty-two thousand, four hundred".