486048 has 48 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 157440.

The previous prime is 486043. The next prime is 486053. The reversal of 486048 is 840684.

It is an interprime number because it is at equal distance from previous prime (486043) and next prime (486053).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (486041) by changing a digit.

486048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5815 + ... + 5897.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2⁴⁸⁶⁰⁴⁸ is an apocalyptic number.

486048 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 486048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

486048 is an abundant number, since it is smaller than the sum of its proper divisors (826368).

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

486048 is a wasteful number, since it uses less digits than its factorization.

486048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 486048 is about 697.1714279860. The cubic root of 486048 is about 78.6248301276.

The spelling of 486048 in words is "four hundred eighty-six thousand, forty-eight".