856424448 has 228 divisors, whose sum is σ = 2789206840. Its totient is φ = 259522560.

The previous prime is 856424447. The next prime is 856424501. The reversal of 856424448 is 844424658.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

856424448 is a `hidden beast` number, since 8 + 564 + 2 + 44 + 48 = 666.

It is a super-3 number, since 3×856424448³ (a number of 28 digits) contains 333 as substring.

Its product of digits (983040) is a multiple of the sum of its prime divisors (16).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (856424447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77856763 + ... + 77856773.

Almost surely, 2^856424448 is an apocalyptic number.

856424448 is a gapful number since it is divisible by the number (88) 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 856424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394603420).

856424448 is an abundant number, since it is smaller than the sum of its proper divisors (1932782392).

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

856424448 is an frugal number, since it uses more digits than its factorization.

856424448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 16 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The square root of 856424448 is about 29264.7304446838. The cubic root of 856424448 is about 949.6487891038.

The spelling of 856424448 in words is "eight hundred fifty-six million, four hundred twenty-four thousand, four hundred forty-eight".