486148320 has 288 divisors, whose sum is σ = 2008214208. Its totient is φ = 104546304.

The previous prime is 486148319. The next prime is 486148321. The reversal of 486148320 is 23841684.

486148320 is a `hidden beast` number, since 4 + 8 + 614 + 8 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (486148319) and next prime (486148321).

It is a tau number, because it is divible by the number of its divisors (288).

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 (486148321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169942 + ... + 172778.

It is an arithmetic number, because the mean of its divisors is an integer number (6972966).

Almost surely, 2^486148320 is an apocalyptic number.

486148320 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 486148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004107104).

486148320 is an abundant number, since it is smaller than the sum of its proper divisors (1522065888).

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

486148320 is a wasteful number, since it uses less digits than its factorization.

486148320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2871 counting only the distinct ones).

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

The square root of 486148320 is about 22048.7713943430. The cubic root of 486148320 is about 786.3023912725.

The spelling of 486148320 in words is "four hundred eighty-six million, one hundred forty-eight thousand, three hundred twenty".