333864960 has 448 divisors, whose sum is σ = 1321125120. Its totient is φ = 70778880.

The previous prime is 333864911. The next prime is 333864961. The reversal of 333864960 is 69468333.

It is a super-2 number, since 2×333864960² = 222931623031603200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333864961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17571831 + ... + 17571849.

It is an arithmetic number, because the mean of its divisors is an integer number (2948940).

Almost surely, 2^333864960 is an apocalyptic number.

333864960 is a gapful number since it is divisible by the number (30) 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 333864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660562560).

333864960 is an abundant number, since it is smaller than the sum of its proper divisors (987260160).

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

333864960 is a wasteful number, since it uses less digits than its factorization.

333864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 333864960 is about 18271.9719789628. The cubic root of 333864960 is about 693.7296879046.

The spelling of 333864960 in words is "three hundred thirty-three million, eight hundred sixty-four thousand, nine hundred sixty".