486073728 has 288 divisors, whose sum is σ = 1662804000. Its totient is φ = 135862272.

The previous prime is 486073717. The next prime is 486073747. The reversal of 486073728 is 827370684.

It is a happy number.

486073728 is a `hidden beast` number, since 4 + 8 + 607 + 37 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4459338 + ... + 4459446.

It is an arithmetic number, because the mean of its divisors is an integer number (5773625).

Almost surely, 2^486073728 is an apocalyptic number.

486073728 is a gapful number since it is divisible by the number (48) 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 486073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831402000).

486073728 is an abundant number, since it is smaller than the sum of its proper divisors (1176730272).

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

486073728 is a wasteful number, since it uses less digits than its factorization.

486073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 486073728 is about 22047.0798066320. The cubic root of 486073728 is about 786.2621738700.

The spelling of 486073728 in words is "four hundred eighty-six million, seventy-three thousand, seven hundred twenty-eight".