486600480 has 192 divisors, whose sum is σ = 1727550720. Its totient is φ = 127899648.

The previous prime is 486600467. The next prime is 486600481. The reversal of 486600480 is 84006684.

486600480 is a `hidden beast` number, since 4 + 8 + 6 + 600 + 48 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (486600481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314589 + ... + 316131.

It is an arithmetic number, because the mean of its divisors is an integer number (8997660).

Almost surely, 2^486600480 is an apocalyptic number.

486600480 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 486600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863775360).

486600480 is an abundant number, since it is smaller than the sum of its proper divisors (1240950240).

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

486600480 is a wasteful number, since it uses less digits than its factorization.

486600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 486600480 is about 22059.0226438072. The cubic root of 486600480 is about 786.5460921525.

The spelling of 486600480 in words is "four hundred eighty-six million, six hundred thousand, four hundred eighty".