856284408 has 96 divisors (see below), whose sum is σ = 2704572000. Its totient is φ = 244645632.

The previous prime is 856284367. The next prime is 856284409. The reversal of 856284408 is 804482658.

856284408 is a `hidden beast` number, since 8 + 562 + 84 + 4 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856284409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7360 + ... + 42032.

It is an arithmetic number, because the mean of its divisors is an integer number (28172625).

Almost surely, 2^856284408 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 856284408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352286000).

856284408 is an abundant number, since it is smaller than the sum of its proper divisors (1848287592).

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

856284408 is a wasteful number, since it uses less digits than its factorization.

856284408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34706 (or 34685 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 856284408 is about 29262.3377056584. The cubic root of 856284408 is about 949.5970250258.

The spelling of 856284408 in words is "eight hundred fifty-six million, two hundred eighty-four thousand, four hundred eight".