834474960 has 400 divisors, whose sum is σ = 3305681280. Its totient is φ = 193121280.

The previous prime is 834474959. The next prime is 834474973. The reversal of 834474960 is 69474438.

834474960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1639186 + ... + 1639694.

Almost surely, 2^834474960 is an apocalyptic number.

834474960 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 834474960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652840640).

834474960 is an abundant number, since it is smaller than the sum of its proper divisors (2471206320).

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

834474960 is a wasteful number, since it uses less digits than its factorization.

834474960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 834474960 is about 28887.2802458106. The cubic root of 834474960 is about 941.4655575261.

The spelling of 834474960 in words is "eight hundred thirty-four million, four hundred seventy-four thousand, nine hundred sixty".