1000434432 has 72 divisors (see below), whose sum is σ = 2672603584. Its totient is φ = 332227584.

The previous prime is 1000434389. The next prime is 1000434439. The reversal of 1000434432 is 2344340001.

It is a junction number, because it is equal to n+sod(n) for n = 1000434399 and 1000434408.

It is not an unprimeable number, because it can be changed into a prime (1000434439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215043 + ... + 219645.

Almost surely, 2^1000434432 is an apocalyptic number.

1000434432 is a gapful number since it is divisible by the number (12) 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 1000434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336301792).

1000434432 is an abundant number, since it is smaller than the sum of its proper divisors (1672169152).

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

1000434432 is an equidigital number, since it uses as much as digits as its factorization.

1000434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1000434432 is about 31629.6448288627. The cubic root of 1000434432 is about 1000.1447897016.

Adding to 1000434432 its reverse (2344340001), we get a palindrome (3344774433).

The spelling of 1000434432 in words is "one billion, four hundred thirty-four thousand, four hundred thirty-two".