1000432320 has 224 divisors, whose sum is σ = 3423513600. Its totient is φ = 246595584.

The previous prime is 1000432309. The next prime is 1000432351. The reversal of 1000432320 is 232340001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000432320.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 962361 + ... + 963399.

Almost surely, 2^1000432320 is an apocalyptic number.

1000432320 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 1000432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711756800).

1000432320 is an abundant number, since it is smaller than the sum of its proper divisors (2423081280).

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

1000432320 is a wasteful number, since it uses less digits than its factorization.

1000432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1000432320 is about 31629.6114424442. The cubic root of 1000432320 is about 1000.1440859049.

Adding to 1000432320 its reverse (232340001), we get a palindrome (1232772321).

It can be divided in two parts, 10004 and 32320, that added together give a palindrome (42324).

The spelling of 1000432320 in words is "one billion, four hundred thirty-two thousand, three hundred twenty".