1330790400 has 405 divisors, whose sum is σ = 5031143481. Its totient is φ = 336199680.

The previous prime is 1330790387. The next prime is 1330790401. The reversal of 1330790400 is 40970331.

The square root of 1330790400 is 36480.

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., 479084544 + 851705856 = 21888^2 + 29184^2 .

It is not an unprimeable number, because it can be changed into a prime (1330790401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70041591 + ... + 70041609.

Almost surely, 2^1330790400 is an apocalyptic number.

1330790400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1330790400 is the 36480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330790400

1330790400 is an abundant number, since it is smaller than the sum of its proper divisors (3700353081).

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

1330790400 is an equidigital number, since it uses as much as digits as its factorization.

1330790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The cubic root of 1330790400 is about 1099.9422559220.

The spelling of 1330790400 in words is "one billion, three hundred thirty million, seven hundred ninety thousand, four hundred".