858909450240 has 448 divisors, whose sum is σ = 3095836531200. Its totient is φ = 225883717632.

The previous prime is 858909450239. The next prime is 858909450247. The reversal of 858909450240 is 42054909858.

It is a happy number.

858909450240 is a `hidden beast` number, since 8 + 5 + 8 + 9 + 0 + 94 + 502 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (858909450247) 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, 80726841 + ... + 80737479.

It is an arithmetic number, because the mean of its divisors is an integer number (6910349400).

Almost surely, 2^858909450240 is an apocalyptic number.

858909450240 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 858909450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547918265600).

858909450240 is an abundant number, since it is smaller than the sum of its proper divisors (2236927080960).

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

858909450240 is a wasteful number, since it uses less digits than its factorization.

858909450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10752 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 858909450240 in words is "eight hundred fifty-eight billion, nine hundred nine million, four hundred fifty thousand, two hundred forty".