330479136 has 96 divisors (see below), whose sum is σ = 1038078720. Its totient is φ = 101682432.

The previous prime is 330479131. The next prime is 330479159. The reversal of 330479136 is 631974033.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 330479136.

It is not an unprimeable number, because it can be changed into a prime (330479131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3480 + ... + 25943.

It is an arithmetic number, because the mean of its divisors is an integer number (10813320).

Almost surely, 2^330479136 is an apocalyptic number.

330479136 is a gapful number since it is divisible by the number (36) 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 330479136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519039360).

330479136 is an abundant number, since it is smaller than the sum of its proper divisors (707599584).

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

330479136 is a wasteful number, since it uses less digits than its factorization.

330479136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29455 (or 29441 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 330479136 is about 18179.0851254952. The cubic root of 330479136 is about 691.3766089988.

The spelling of 330479136 in words is "three hundred thirty million, four hundred seventy-nine thousand, one hundred thirty-six".