332001000 has 192 divisors, whose sum is σ = 1153648080. Its totient is φ = 86054400.

The previous prime is 332000993. The next prime is 332001023. The reversal of 332001000 is 100233.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 108618084 + 223382916 = 10422^2 + 14946^2 .

It is a super-2 number, since 2×332001000² = 220449328002000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332502 + ... + 333498.

Almost surely, 2^332001000 is an apocalyptic number.

332001000 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 332001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576824040).

332001000 is an abundant number, since it is smaller than the sum of its proper divisors (821647080).

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

332001000 is a wasteful number, since it uses less digits than its factorization.

332001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 332001000 is about 18220.8945993329. The cubic root of 332001000 is about 692.4362524784.

Adding to 332001000 its reverse (100233), we get a palindrome (332101233).

The spelling of 332001000 in words is "three hundred thirty-two million, one thousand".