1329474432 has 384 divisors, whose sum is σ = 4375848960. Its totient is φ = 354816000.

The previous prime is 1329474431. The next prime is 1329474439. The reversal of 1329474432 is 2344749231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329474431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18724957 + ... + 18725027.

It is an arithmetic number, because the mean of its divisors is an integer number (11395440).

Almost surely, 2^1329474432 is an apocalyptic number.

1329474432 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 1329474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187924480).

1329474432 is an abundant number, since it is smaller than the sum of its proper divisors (3046374528).

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

1329474432 is a wasteful number, since it uses less digits than its factorization.

1329474432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 1329474432 is about 36461.9586967020. The cubic root of 1329474432 is about 1099.5795726637.

The spelling of 1329474432 in words is "one billion, three hundred twenty-nine million, four hundred seventy-four thousand, four hundred thirty-two".