834493440 has 264 divisors, whose sum is σ = 2940310800. Its totient is φ = 201850880.

The previous prime is 834493421. The next prime is 834493453. The reversal of 834493440 is 44394438.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1858336 + ... + 1858784.

Almost surely, 2^834493440 is an apocalyptic number.

834493440 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 834493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470155400).

834493440 is an abundant number, since it is smaller than the sum of its proper divisors (2105817360).

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

834493440 is a wasteful number, since it uses less digits than its factorization.

834493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 834493440 is about 28887.6001080048. The cubic root of 834493440 is about 941.4725072673.

The spelling of 834493440 in words is "eight hundred thirty-four million, four hundred ninety-three thousand, four hundred forty".