832469440 has 112 divisors (see below), whose sum is σ = 2198546784. Its totient is φ = 297676800.

The previous prime is 832469437. The next prime is 832469441. The reversal of 832469440 is 44964238.

832469440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 832469393 and 832469402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832469441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212782 + ... + 216658.

It is an arithmetic number, because the mean of its divisors is an integer number (19629882).

Almost surely, 2^832469440 is an apocalyptic number.

832469440 is a gapful number since it is divisible by the number (80) 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 832469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099273392).

832469440 is an abundant number, since it is smaller than the sum of its proper divisors (1366077344).

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

832469440 is a wasteful number, since it uses less digits than its factorization.

832469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 832469440 is about 28852.5465080641. The cubic root of 832469440 is about 940.7107345466.

The spelling of 832469440 in words is "eight hundred thirty-two million, four hundred sixty-nine thousand, four hundred forty".