832469040 has 480 divisors, whose sum is σ = 3293122560. Its totient is φ = 186624000.

The previous prime is 832469017. The next prime is 832469047. The reversal of 832469040 is 40964238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 832468986 and 832469004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832469047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5512965 + ... + 5513115.

It is an arithmetic number, because the mean of its divisors is an integer number (6860672).

Almost surely, 2^832469040 is an apocalyptic number.

832469040 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 832469040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646561280).

832469040 is an abundant number, since it is smaller than the sum of its proper divisors (2460653520).

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

832469040 is a wasteful number, since it uses less digits than its factorization.

832469040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 832469040 is about 28852.5395762661. The cubic root of 832469040 is about 940.7105838766.

The spelling of 832469040 in words is "eight hundred thirty-two million, four hundred sixty-nine thousand, forty".