834513408 has 320 divisors, whose sum is σ = 2704648320. Its totient is φ = 253034496.

The previous prime is 834513403. The next prime is 834513431. The reversal of 834513408 is 804315438.

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

It is not an unprimeable number, because it can be changed into a prime (834513403) by changing a digit.

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, 12455391 + ... + 12455457.

It is an arithmetic number, because the mean of its divisors is an integer number (8452026).

Almost surely, 2^834513408 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 834513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352324160).

834513408 is an abundant number, since it is smaller than the sum of its proper divisors (1870134912).

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

834513408 is a wasteful number, since it uses less digits than its factorization.

834513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 834513408 is about 28887.9457213558. The cubic root of 834513408 is about 941.4800164828.

The spelling of 834513408 in words is "eight hundred thirty-four million, five hundred thirteen thousand, four hundred eight".