834505440 has 192 divisors, whose sum is σ = 2714342400. Its totient is φ = 215414784.

The previous prime is 834505423. The next prime is 834505447. The reversal of 834505440 is 44505438.

834505440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834505447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2237094 + ... + 2237466.

It is an arithmetic number, because the mean of its divisors is an integer number (14137200).

Almost surely, 2^834505440 is an apocalyptic number.

834505440 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 834505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

834505440 is an abundant number, since it is smaller than the sum of its proper divisors (1879836960).

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

834505440 is a wasteful number, since it uses less digits than its factorization.

834505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 834505440 is about 28887.8078088317. The cubic root of 834505440 is about 941.4770200314.

The spelling of 834505440 in words is "eight hundred thirty-four million, five hundred five thousand, four hundred forty".