448950 has 48 divisors (see below), whose sum is σ = 1156176. Its totient is φ = 115200.

The previous prime is 448939. The next prime is 448969. The reversal of 448950 is 59844.

It is a super-2 number, since 2×448950² = 403112205000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

448950 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 23 ways as a sum of consecutive naturals, for example, 6114 + ... + 6186.

It is an arithmetic number, because the mean of its divisors is an integer number (24087).

2⁴⁴⁸⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578088).

448950 is an abundant number, since it is smaller than the sum of its proper divisors (707226).

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

448950 is a wasteful number, since it uses less digits than its factorization.

448950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 448950 is about 670.0373123939. The cubic root of 448950 is about 76.5712949774.

The spelling of 448950 in words is "four hundred forty-eight thousand, nine hundred fifty".