486120456 has 96 divisors (see below), whose sum is σ = 1379252160. Its totient is φ = 154382976.

The previous prime is 486120449. The next prime is 486120511. The reversal of 486120456 is 654021684.

486120456 is a `hidden beast` number, since 4 + 86 + 120 + 456 = 666.

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 486120456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617295 + ... + 618081.

It is an arithmetic number, because the mean of its divisors is an integer number (14367210).

Almost surely, 2^486120456 is an apocalyptic number.

486120456 is a gapful number since it is divisible by the number (46) 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 486120456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689626080).

486120456 is an abundant number, since it is smaller than the sum of its proper divisors (893131704).

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

486120456 is a wasteful number, since it uses less digits than its factorization.

486120456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 486120456 is about 22048.1395133467. The cubic root of 486120456 is about 786.2873684577.

The spelling of 486120456 in words is "four hundred eighty-six million, one hundred twenty thousand, four hundred fifty-six".