486285120 has 280 divisors, whose sum is σ = 1760320584. Its totient is φ = 127401984.

The previous prime is 486285109. The next prime is 486285157. The reversal of 486285120 is 21582684.

486285120 is a `hidden beast` number, since 4 + 8 + 628 + 5 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195105024 + 291180096 = 13968^2 + 17064^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1892032 + ... + 1892288.

Almost surely, 2^486285120 is an apocalyptic number.

486285120 is a gapful number since it is divisible by the number (40) 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 486285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880160292).

486285120 is an abundant number, since it is smaller than the sum of its proper divisors (1274035464).

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

486285120 is a wasteful number, since it uses less digits than its factorization.

486285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 486285120 is about 22051.8733898052. The cubic root of 486285120 is about 786.3761383676.

The spelling of 486285120 in words is "four hundred eighty-six million, two hundred eighty-five thousand, one hundred twenty".