858264960 has 256 divisors, whose sum is σ = 3292070400. Its totient is φ = 185794560.

The previous prime is 858264959. The next prime is 858264983. The reversal of 858264960 is 69462858.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253680 + ... + 257040.

It is an arithmetic number, because the mean of its divisors is an integer number (12859650).

Almost surely, 2^858264960 is an apocalyptic number.

858264960 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 858264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646035200).

858264960 is an abundant number, since it is smaller than the sum of its proper divisors (2433805440).

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

858264960 is a wasteful number, since it uses less digits than its factorization.

858264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 858264960 is about 29296.1594752623. The cubic root of 858264960 is about 950.3285880885.

The spelling of 858264960 in words is "eight hundred fifty-eight million, two hundred sixty-four thousand, nine hundred sixty".