858480 has 120 divisors (see below), whose sum is σ = 3138192. Its totient is φ = 193536.

The previous prime is 858479. The next prime is 858497. The reversal of 858480 is 84858.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 858480.

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, 11724 + ... + 11796.

2⁸⁵⁸⁴⁸⁰ is an apocalyptic number.

858480 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 858480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569096).

858480 is an abundant number, since it is smaller than the sum of its proper divisors (2279712).

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

858480 is a wasteful number, since it uses less digits than its factorization.

858480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 858480 is about 926.5419580354. The cubic root of 858480 is about 95.0407950369.

The spelling of 858480 in words is "eight hundred fifty-eight thousand, four hundred eighty".