333006480 has 120 divisors (see below), whose sum is σ = 1128519288. Its totient is φ = 87994368.

The previous prime is 333006467. The next prime is 333006481. The reversal of 333006480 is 84600333.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 332259984 = 864^2 + 18228^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×333006480² = 221786631443980800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (333006481) 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 23 ways as a sum of consecutive naturals, for example, 79314 + ... + 83406.

Almost surely, 2^333006480 is an apocalyptic number.

333006480 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 333006480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564259644).

333006480 is an abundant number, since it is smaller than the sum of its proper divisors (795512808).

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

333006480 is a wasteful number, since it uses less digits than its factorization.

333006480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 333006480 is about 18248.4651409372. The cubic root of 333006480 is about 693.1345727926.

The spelling of 333006480 in words is "three hundred thirty-three million, six thousand, four hundred eighty".