1329593952 has 48 divisors (see below), whose sum is σ = 3501414000. Its totient is φ = 441772032.

The previous prime is 1329593933. The next prime is 1329593957. The reversal of 1329593952 is 2593959231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1329593952³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329593957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7924 + ... + 52172.

It is an arithmetic number, because the mean of its divisors is an integer number (72946125).

Almost surely, 2^1329593952 is an apocalyptic number.

1329593952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1329593952 is an abundant number, since it is smaller than the sum of its proper divisors (2171820048).

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

1329593952 is a wasteful number, since it uses less digits than its factorization.

1329593952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44575 (or 44567 counting only the distinct ones).

The product of its digits is 656100, while the sum is 48.

The square root of 1329593952 is about 36463.5976283197. The cubic root of 1329593952 is about 1099.6125224793.

The spelling of 1329593952 in words is "one billion, three hundred twenty-nine million, five hundred ninety-three thousand, nine hundred fifty-two".