1000331400 has 96 divisors (see below), whose sum is σ = 3110470560. Its totient is φ = 265943040.

The previous prime is 1000331359. The next prime is 1000331401. The reversal of 1000331400 is 41330001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1000331401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 209439 + ... + 214161.

It is an arithmetic number, because the mean of its divisors is an integer number (32400735).

Almost surely, 2^1000331400 is an apocalyptic number.

1000331400 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 1000331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555235280).

1000331400 is an abundant number, since it is smaller than the sum of its proper divisors (2110139160).

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

1000331400 is a wasteful number, since it uses less digits than its factorization.

1000331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1000331400 is about 31628.0160617134. The cubic root of 1000331400 is about 1000.1104544660.

Adding to 1000331400 its reverse (41330001), we get a palindrome (1041661401).

The spelling of 1000331400 in words is "one billion, three hundred thirty-one thousand, four hundred".