483888 has 40 divisors (see below), whose sum is σ = 1325808. Its totient is φ = 151552.

The previous prime is 483883. The next prime is 483907. The reversal of 483888 is 888384.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 483888.

It is not an unprimeable number, because it can be changed into a prime (483883) by changing a digit.

483888 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, 520 + ... + 1112.

2⁴⁸³⁸⁸⁸ is an apocalyptic number.

483888 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 483888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662904).

483888 is an abundant number, since it is smaller than the sum of its proper divisors (841920).

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

483888 is a wasteful number, since it uses less digits than its factorization.

483888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 483888 is about 695.6205862394. The cubic root of 483888 is about 78.5081874431.

Subtracting 483888 from its reverse (888384), we obtain a square (404496 = 636²).

It can be divided in two parts, 48 and 3888, that multiplied together give a square (186624 = 432²).

The spelling of 483888 in words is "four hundred eighty-three thousand, eight hundred eighty-eight".