130330400 has 72 divisors (see below), whose sum is σ = 321518484. Its totient is φ = 51584000.

The previous prime is 130330357. The next prime is 130330411. The reversal of 130330400 is 4033031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 92236816 + 38093584 = 9604^2 + 6172^2 .

It is an unprimeable number.

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, 79994 + ... + 81606.

Almost surely, 2^130330400 is an apocalyptic number.

130330400 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 130330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160759242).

130330400 is an abundant number, since it is smaller than the sum of its proper divisors (191188084).

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

130330400 is a wasteful number, since it uses less digits than its factorization.

130330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 130330400 is about 11416.2340550639. The cubic root of 130330400 is about 507.0085027758.

Adding to 130330400 its reverse (4033031), we get a palindrome (134363431).

The spelling of 130330400 in words is "one hundred thirty million, three hundred thirty thousand, four hundred".