486758160 has 480 divisors, whose sum is σ = 2004038400. Its totient is φ = 109734912.

The previous prime is 486758137. The next prime is 486758183. The reversal of 486758160 is 61857684.

It is a happy number.

486758160 is a `hidden beast` number, since 4 + 8 + 6 + 7 + 581 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (486758137) and next prime (486758183).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6667884 + ... + 6667956.

It is an arithmetic number, because the mean of its divisors is an integer number (4175080).

Almost surely, 2^486758160 is an apocalyptic number.

486758160 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 486758160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002019200).

486758160 is an abundant number, since it is smaller than the sum of its proper divisors (1517280240).

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

486758160 is an equidigital number, since it uses as much as digits as its factorization.

486758160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 486758160 is about 22062.5964020557. The cubic root of 486758160 is about 786.6310415097.

The spelling of 486758160 in words is "four hundred eighty-six million, seven hundred fifty-eight thousand, one hundred sixty".