830252433024 has 256 divisors, whose sum is σ = 2847924864000. Its totient is φ = 233193987072.

The previous prime is 830252432983. The next prime is 830252433029. The reversal of 830252433024 is 420334252038.

830252433024 is a `hidden beast` number, since 8 + 302 + 5 + 2 + 43 + 302 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 830252433024.

It is not an unprimeable number, because it can be changed into a prime (830252433029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136487 + ... + 1718169.

It is an arithmetic number, because the mean of its divisors is an integer number (11124706500).

Almost surely, 2^830252433024 is an apocalyptic number.

830252433024 is a gapful number since it is divisible by the number (84) 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 830252433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423962432000).

830252433024 is an abundant number, since it is smaller than the sum of its proper divisors (2017672430976).

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

830252433024 is a wasteful number, since it uses less digits than its factorization.

830252433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581772 (or 581754 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 830252433024 in words is "eight hundred thirty billion, two hundred fifty-two million, four hundred thirty-three thousand, twenty-four".