486282240 has 264 divisors, whose sum is σ = 1722476808. Its totient is φ = 126812160.

The previous prime is 486282239. The next prime is 486282271. The reversal of 486282240 is 42282684.

It is a happy number.

486282240 is a `hidden beast` number, since 4 + 8 + 628 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32080896 + 454201344 = 5664^2 + 21312^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 486282195 and 486282204.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2810794 + ... + 2810966.

Almost surely, 2^486282240 is an apocalyptic number.

486282240 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 486282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861238404).

486282240 is an abundant number, since it is smaller than the sum of its proper divisors (1236194568).

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

486282240 is a wasteful number, since it uses less digits than its factorization.

486282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 486282240 is about 22051.8080891341. The cubic root of 486282240 is about 786.3745859397.

The spelling of 486282240 in words is "four hundred eighty-six million, two hundred eighty-two thousand, two hundred forty".