858000900 has 72 divisors (see below), whose sum is σ = 2505777120. Its totient is φ = 226653440.

The previous prime is 858000893. The next prime is 858000911. The reversal of 858000900 is 9000858.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18736 + ... + 45464.

It is an arithmetic number, because the mean of its divisors is an integer number (34802460).

Almost surely, 2^858000900 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 858000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252888560).

858000900 is an abundant number, since it is smaller than the sum of its proper divisors (1647776220).

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

858000900 is a wasteful number, since it uses less digits than its factorization.

858000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26853 (or 26846 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 858000900 is about 29291.6523944963. The cubic root of 858000900 is about 950.2311164378.

The spelling of 858000900 in words is "eight hundred fifty-eight million, nine hundred", and thus it is an aban number.