480048 has 40 divisors (see below), whose sum is σ = 1266288. Its totient is φ = 156672.

The previous prime is 480047. The next prime is 480049. The reversal of 480048 is 840084.

It is an interprime number because it is at equal distance from previous prime (480047) and next prime (480049).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (480043) 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, 3436 + ... + 3572.

2⁴⁸⁰⁰⁴⁸ is an apocalyptic number.

480048 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 480048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633144).

480048 is an abundant number, since it is smaller than the sum of its proper divisors (786240).

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

480048 is a wasteful number, since it uses less digits than its factorization.

480048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 480048 is about 692.8549631777. The cubic root of 480048 is about 78.2999626481.

480048 divided by its sum of digits (24) gives a palindrome (20002).

It can be divided in two parts, 4800 and 48, that multiplied together give a square (230400 = 480²).

The spelling of 480048 in words is "four hundred eighty thousand, forty-eight".