486528 has 64 divisors (see below), whose sum is σ = 1485120. Its totient is φ = 138240.

The previous prime is 486527. The next prime is 486539. The reversal of 486528 is 825684.

486528 = T₁₇ + T₁₈ + ... + T₁₄₂.

486528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2598 + ... + 2778.

It is an arithmetic number, because the mean of its divisors is an integer number (23205).

2⁴⁸⁶⁵²⁸ is an apocalyptic number.

486528 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 486528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742560).

486528 is an abundant number, since it is smaller than the sum of its proper divisors (998592).

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

486528 is a wasteful number, since it uses less digits than its factorization.

486528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 486528 is about 697.5155912236. The cubic root of 486528 is about 78.6507037737.

The spelling of 486528 in words is "four hundred eighty-six thousand, five hundred twenty-eight".