1329397920 has 240 divisors, whose sum is σ = 4764801888. Its totient is φ = 348986880.

The previous prime is 1329397897. The next prime is 1329397939. The reversal of 1329397920 is 297939231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 867555 + ... + 869085.

Almost surely, 2^1329397920 is an apocalyptic number.

1329397920 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 1329397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382400944).

1329397920 is an abundant number, since it is smaller than the sum of its proper divisors (3435403968).

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

1329397920 is a wasteful number, since it uses less digits than its factorization.

1329397920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 1329397920 is about 36460.9094785086. The cubic root of 1329397920 is about 1099.5584784518.

The spelling of 1329397920 in words is "one billion, three hundred twenty-nine million, three hundred ninety-seven thousand, nine hundred twenty".