1329433560 has 512 divisors, whose sum is σ = 5554483200. Its totient is φ = 278816256.

The previous prime is 1329433549. The next prime is 1329433561. The reversal of 1329433560 is 653349231.

It is a happy number.

1329433560 is a `hidden beast` number, since 1 + 3 + 2 + 94 + 3 + 3 + 560 = 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 (1329433561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7960597 + ... + 7960763.

It is an arithmetic number, because the mean of its divisors is an integer number (10848600).

Almost surely, 2^1329433560 is an apocalyptic number.

1329433560 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 1329433560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777241600).

1329433560 is an abundant number, since it is smaller than the sum of its proper divisors (4225049640).

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

1329433560 is a wasteful number, since it uses less digits than its factorization.

1329433560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1329433560 is about 36461.3982178413. The cubic root of 1329433560 is about 1099.5683044322.

It can be divided in two parts, 132943 and 3560, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 1329433560 in words is "one billion, three hundred twenty-nine million, four hundred thirty-three thousand, five hundred sixty".