1000232400 has 120 divisors (see below), whose sum is σ = 3392622144. Its totient is φ = 251033600.

The previous prime is 1000232353. The next prime is 1000232407. The reversal of 1000232400 is 42320001.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000232407) 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, 4116 + ... + 44915.

Almost surely, 2^1000232400 is an apocalyptic number.

1000232400 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 1000232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696311072).

1000232400 is an abundant number, since it is smaller than the sum of its proper divisors (2392389744).

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

1000232400 is a wasteful number, since it uses less digits than its factorization.

1000232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49069 (or 49058 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1000232400 is about 31626.4509548574. The cubic root of 1000232400 is about 1000.0774606664.

Adding to 1000232400 its reverse (42320001), we get a palindrome (1042552401).

The spelling of 1000232400 in words is "one billion, two hundred thirty-two thousand, four hundred".