834456264 has 64 divisors (see below), whose sum is σ = 2211709440. Its totient is φ = 261895680.

The previous prime is 834456263. The next prime is 834456349. The reversal of 834456264 is 462654438.

834456264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (834456263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12372 + ... + 42684.

It is an arithmetic number, because the mean of its divisors is an integer number (34557960).

Almost surely, 2^834456264 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 834456264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105854720).

834456264 is an abundant number, since it is smaller than the sum of its proper divisors (1377253176).

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

834456264 is a wasteful number, since it uses less digits than its factorization.

834456264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30390 (or 30386 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 834456264 is about 28886.9566413632. The cubic root of 834456264 is about 941.4585264497.

The spelling of 834456264 in words is "eight hundred thirty-four million, four hundred fifty-six thousand, two hundred sixty-four".