332002000 has 80 divisors (see below), whose sum is σ = 875818944. Its totient is φ = 120720000.

The previous prime is 332001983. The next prime is 332002001. The reversal of 332002000 is 200233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×332002000² = 220450656008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332002001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14455 + ... + 29545.

Almost surely, 2^332002000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437909472).

332002000 is an abundant number, since it is smaller than the sum of its proper divisors (543816944).

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

332002000 is a wasteful number, since it uses less digits than its factorization.

332002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15125 (or 15109 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 332002000 is about 18220.9220403359. The cubic root of 332002000 is about 692.4369476928.

Adding to 332002000 its reverse (200233), we get a palindrome (332202233).

The spelling of 332002000 in words is "three hundred thirty-two million, two thousand".