833064480 has 192 divisors, whose sum is σ = 2953843200. Its totient is φ = 219248640.

The previous prime is 833064383. The next prime is 833064493. The reversal of 833064480 is 84460338.

833064480 is a `hidden beast` number, since 8 + 3 + 3 + 0 + 644 + 8 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 340060 + ... + 342500.

It is an arithmetic number, because the mean of its divisors is an integer number (15384600).

Almost surely, 2^833064480 is an apocalyptic number.

833064480 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 833064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476921600).

833064480 is an abundant number, since it is smaller than the sum of its proper divisors (2120778720).

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

833064480 is a wasteful number, since it uses less digits than its factorization.

833064480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 833064480 is about 28862.8564075006. The cubic root of 833064480 is about 940.9348177266.

The spelling of 833064480 in words is "eight hundred thirty-three million, sixty-four thousand, four hundred eighty".