1000332000 has 288 divisors, whose sum is σ = 3650984064. Its totient is φ = 259200000.

The previous prime is 1000331999. The next prime is 1000332001. The reversal of 1000332000 is 2330001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000331999) and next prime (1000332001).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1000332000² = 2001328220448000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000332001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1331625 + ... + 1332375.

It is an arithmetic number, because the mean of its divisors is an integer number (12677028).

Almost surely, 2^1000332000 is an apocalyptic number.

1000332000 is a gapful number since it is divisible by the number (10) 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 1000332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825492032).

1000332000 is an abundant number, since it is smaller than the sum of its proper divisors (2650652064).

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

1000332000 is a wasteful number, since it uses less digits than its factorization.

1000332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 798 counting only the distinct ones).

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

The square root of 1000332000 is about 31628.0255469734. The cubic root of 1000332000 is about 1000.1106544218.

Adding to 1000332000 its reverse (2330001), we get a palindrome (1002662001).

The spelling of 1000332000 in words is "one billion, three hundred thirty-two thousand".