486435300120 has 768 divisors, whose sum is σ = 2047286292480. Its totient is φ = 97237324800.

The previous prime is 486435300089. The next prime is 486435300121. The reversal of 486435300120 is 21003534684.

486435300120 is a `hidden beast` number, since 4 + 8 + 643 + 5 + 3 + 0 + 0 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486435300121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79858275 + ... + 79864365.

It is an arithmetic number, because the mean of its divisors is an integer number (2665737360).

Almost surely, 2^486435300120 is an apocalyptic number.

486435300120 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 486435300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023643146240).

486435300120 is an abundant number, since it is smaller than the sum of its proper divisors (1560850992360).

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

486435300120 is a wasteful number, since it uses less digits than its factorization.

486435300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 486435300120 in words is "four hundred eighty-six billion, four hundred thirty-five million, three hundred thousand, one hundred twenty".