450048 has 40 divisors (see below), whose sum is σ = 1203048. Its totient is φ = 149504.

The previous prime is 450029. The next prime is 450067. The reversal of 450048 is 840054.

It is an interprime number because it is at equal distance from previous prime (450029) and next prime (450067).

It is a congruent number.

It is an unprimeable number.

450048 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 3 ways as a sum of consecutive naturals, for example, 1390 + ... + 1682.

2⁴⁵⁰⁰⁴⁸ is an apocalyptic number.

450048 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 450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601524).

450048 is an abundant number, since it is smaller than the sum of its proper divisors (753000).

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

450048 is an equidigital number, since it uses as much as digits as its factorization.

450048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 450048 is about 670.8561693836. The cubic root of 450048 is about 76.6336677982.

It can be divided in two parts, 4500 and 48, that multiplied together give a cube (216000 = 60³).

The spelling of 450048 in words is "four hundred fifty thousand, forty-eight".