120455856 has 80 divisors (see below), whose sum is σ = 352343520. Its totient is φ = 39386880.

The previous prime is 120455851. The next prime is 120455873. The reversal of 120455856 is 658554021.

120455856 is a `hidden beast` number, since 120 + 455 + 85 + 6 = 666.

It is a super-2 number, since 2×120455856² = 29019226489385472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120455856.

It is not an unprimeable number, because it can be changed into a prime (120455851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20266 + ... + 25526.

It is an arithmetic number, because the mean of its divisors is an integer number (4404294).

Almost surely, 2^120455856 is an apocalyptic number.

120455856 is a gapful number since it is divisible by the number (16) 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 120455856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176171760).

120455856 is an abundant number, since it is smaller than the sum of its proper divisors (231887664).

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

120455856 is a wasteful number, since it uses less digits than its factorization.

120455856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 120455856 is about 10975.2383117634. The cubic root of 120455856 is about 493.8662020792.

The spelling of 120455856 in words is "one hundred twenty million, four hundred fifty-five thousand, eight hundred fifty-six".