1330300400 has 180 divisors, whose sum is σ = 3777537240. Its totient is φ = 446284800.

The previous prime is 1330300379. The next prime is 1330300429. The reversal of 1330300400 is 40030331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 742706 + ... + 744494.

It is an arithmetic number, because the mean of its divisors is an integer number (20986318).

Almost surely, 2^1330300400 is an apocalyptic number.

1330300400 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 1330300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888768620).

1330300400 is an abundant number, since it is smaller than the sum of its proper divisors (2447236840).

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

1330300400 is a wasteful number, since it uses less digits than its factorization.

1330300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1820 counting only the distinct ones).

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

The square root of 1330300400 is about 36473.2833729019. The cubic root of 1330300400 is about 1099.8072389503.

Adding to 1330300400 its reverse (40030331), we get a palindrome (1370330731).

The spelling of 1330300400 in words is "one billion, three hundred thirty million, three hundred thousand, four hundred".