1330398432 has 240 divisors, whose sum is σ = 4418290800. Its totient is φ = 389007360.

The previous prime is 1330398409. The next prime is 1330398439. The reversal of 1330398432 is 2348930331.

1330398432 is a `hidden beast` number, since 133 + 0 + 3 + 98 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330398439) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 826044 + ... + 827652.

It is an arithmetic number, because the mean of its divisors is an integer number (18409545).

Almost surely, 2^1330398432 is an apocalyptic number.

1330398432 is a gapful number since it is divisible by the number (12) 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 1330398432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209145400).

1330398432 is an abundant number, since it is smaller than the sum of its proper divisors (3087892368).

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

1330398432 is a wasteful number, since it uses less digits than its factorization.

1330398432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1330398432 is about 36474.6272359294. The cubic root of 1330398432 is about 1099.8342538148.

The spelling of 1330398432 in words is "one billion, three hundred thirty million, three hundred ninety-eight thousand, four hundred thirty-two".