333972000 has 144 divisors (see below), whose sum is σ = 1185394392. Its totient is φ = 89049600.

The previous prime is 333971993. The next prime is 333972053. The reversal of 333972000 is 279333.

It can be written as a sum of positive squares in 4 ways, for example, as 153660816 + 180311184 = 12396^2 + 13428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×333972000² = 223074593568000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31362 + ... + 40638.

Almost surely, 2^333972000 is an apocalyptic number.

333972000 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 333972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592697196).

333972000 is an abundant number, since it is smaller than the sum of its proper divisors (851422392).

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

333972000 is a wasteful number, since it uses less digits than its factorization.

333972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 333972000 is about 18274.9008205243. The cubic root of 333972000 is about 693.8038185665.

The spelling of 333972000 in words is "three hundred thirty-three million, nine hundred seventy-two thousand".