834983424 has 480 divisors, whose sum is σ = 3014985600. Its totient is φ = 225607680.

The previous prime is 834983423. The next prime is 834983437. The reversal of 834983424 is 424389438.

834983424 = 49³ + 50³ + ... + 240³.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 834983424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834983423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43946487 + ... + 43946505.

It is an arithmetic number, because the mean of its divisors is an integer number (6281220).

Almost surely, 2^834983424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507492800).

834983424 is an abundant number, since it is smaller than the sum of its proper divisors (2180002176).

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

834983424 is a wasteful number, since it uses less digits than its factorization.

834983424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 834983424 is about 28896.0797341093. The cubic root of 834983424 is about 941.6567372784.

The spelling of 834983424 in words is "eight hundred thirty-four million, nine hundred eighty-three thousand, four hundred twenty-four".