856405248 has 72 divisors (see below), whose sum is σ = 2283605856. Its totient is φ = 284928000.

The previous prime is 856405241. The next prime is 856405289. The reversal of 856405248 is 842504658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856405241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806638 + ... + 807698.

It is an arithmetic number, because the mean of its divisors is an integer number (31716748).

Almost surely, 2^856405248 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 856405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141802928).

856405248 is an abundant number, since it is smaller than the sum of its proper divisors (1427200608).

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

856405248 is a wasteful number, since it uses less digits than its factorization.

856405248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 856405248 is about 29264.4024029195. The cubic root of 856405248 is about 949.6416923917.

The spelling of 856405248 in words is "eight hundred fifty-six million, four hundred five thousand, two hundred forty-eight".