859464 has 64 divisors (see below), whose sum is σ = 2505600. Its totient is φ = 272448.

The previous prime is 859459. The next prime is 859477. The reversal of 859464 is 464958.

859464 is a `hidden beast` number, since 8 + 594 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

859464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4882 + ... + 5054.

It is an arithmetic number, because the mean of its divisors is an integer number (39150).

2⁸⁵⁹⁴⁶⁴ 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 859464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252800).

859464 is an abundant number, since it is smaller than the sum of its proper divisors (1646136).

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

859464 is a wasteful number, since it uses less digits than its factorization.

859464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 859464 is about 927.0728126744. The cubic root of 859464 is about 95.0770934690.

The spelling of 859464 in words is "eight hundred fifty-nine thousand, four hundred sixty-four".