1333468008 has 80 divisors (see below), whose sum is σ = 3747670080. Its totient is φ = 442975392.

The previous prime is 1333467979. The next prime is 1333468009. The reversal of 1333468008 is 8008643331.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1333468009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 195585 + ... + 202287.

It is an arithmetic number, because the mean of its divisors is an integer number (46845876).

Almost surely, 2^1333468008 is an apocalyptic number.

1333468008 is a gapful number since it is divisible by the number (18) 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 1333468008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873835040).

1333468008 is an abundant number, since it is smaller than the sum of its proper divisors (2414202072).

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

1333468008 is a wasteful number, since it uses less digits than its factorization.

1333468008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1333468008 is about 36516.6812292684. The cubic root of 1333468008 is about 1100.6794722132.

The spelling of 1333468008 in words is "one billion, three hundred thirty-three million, four hundred sixty-eight thousand, eight".