856480 has 48 divisors (see below), whose sum is σ = 2082024. Its totient is φ = 332800.

The previous prime is 856469. The next prime is 856483. The reversal of 856480 is 84658.

It can be written as a sum of positive squares in 4 ways, for example, as 853776 + 2704 = 924^2 + 52^2 .

It is not an unprimeable number, because it can be changed into a prime (856483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8430 + ... + 8530.

2⁸⁵⁶⁴⁸⁰ is an apocalyptic number.

856480 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 856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041012).

856480 is an abundant number, since it is smaller than the sum of its proper divisors (1225544).

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

856480 is a wasteful number, since it uses less digits than its factorization.

856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 856480 is about 925.4620467637. The cubic root of 856480 is about 94.9669321660.

The spelling of 856480 in words is "eight hundred fifty-six thousand, four hundred eighty".