486841680 has 180 divisors, whose sum is σ = 1770860988. Its totient is φ = 119808000.

The previous prime is 486841661. The next prime is 486841681. The reversal of 486841680 is 86148684.

486841680 is a `hidden beast` number, since 486 + 8 + 4 + 168 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 227889216 + 258952464 = 15096^2 + 16092^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486841681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119680 + ... + 123680.

Almost surely, 2^486841680 is an apocalyptic number.

486841680 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 486841680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885430494).

486841680 is an abundant number, since it is smaller than the sum of its proper divisors (1284019308).

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

486841680 is a wasteful number, since it uses less digits than its factorization.

486841680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 486841680 is about 22064.4891171312. The cubic root of 486841680 is about 786.6760300842.

The spelling of 486841680 in words is "four hundred eighty-six million, eight hundred forty-one thousand, six hundred eighty".