856440264 has 32 divisors (see below), whose sum is σ = 2168208000. Its totient is φ = 281865792.

The previous prime is 856440253. The next prime is 856440281. The reversal of 856440264 is 462044658.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223959 + ... + 227750.

It is an arithmetic number, because the mean of its divisors is an integer number (67756500).

Almost surely, 2^856440264 is an apocalyptic number.

It is an amenable number.

856440264 is an abundant number, since it is smaller than the sum of its proper divisors (1311767736).

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

856440264 is a wasteful number, since it uses less digits than its factorization.

856440264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451797 (or 451793 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 856440264 is about 29265.0006663250. Note that the first 3 decimals coincide. The cubic root of 856440264 is about 949.6546349406.

Subtracting from 856440264 its sum of digits (39), we obtain a square (856440225 = 29265²).

It can be divided in two parts, 8564 and 40264, that added together give a triangular number (48828 = T₃₁₂).

The spelling of 856440264 in words is "eight hundred fifty-six million, four hundred forty thousand, two hundred sixty-four".