866301456 has 80 divisors (see below), whose sum is σ = 2325922560. Its totient is φ = 277509120.

The previous prime is 866301451. The next prime is 866301493. The reversal of 866301456 is 654103668.

It is not an unprimeable number, because it can be changed into a prime (866301451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323001 + ... + 325671.

It is an arithmetic number, because the mean of its divisors is an integer number (29074032).

Almost surely, 2^866301456 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 866301456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162961280).

866301456 is an abundant number, since it is smaller than the sum of its proper divisors (1459621104).

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

866301456 is a wasteful number, since it uses less digits than its factorization.

866301456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 866301456 is about 29432.9994394047. Note that the first 3 decimals coincide. The cubic root of 866301456 is about 953.2855604970.

The spelling of 866301456 in words is "eight hundred sixty-six million, three hundred one thousand, four hundred fifty-six".