333004672 has 256 divisors, whose sum is σ = 937681920. Its totient is φ = 113541120.

The previous prime is 333004669. The next prime is 333004681. The reversal of 333004672 is 276400333.

It is a super-2 number, since 2×333004672² = 221784223147655168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 333004672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2946888 + ... + 2947000.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2^333004672 is an apocalyptic number.

333004672 is a gapful number since it is divisible by the number (32) 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 333004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468840960).

333004672 is an abundant number, since it is smaller than the sum of its proper divisors (604677248).

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

333004672 is a wasteful number, since it uses less digits than its factorization.

333004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The square root of 333004672 is about 18248.4156024571. The cubic root of 333004672 is about 693.1333183730.

The spelling of 333004672 in words is "three hundred thirty-three million, four thousand, six hundred seventy-two".