448956 has 24 divisors (see below), whose sum is σ = 1164240. Its totient is φ = 149616.

The previous prime is 448939. The next prime is 448969. The reversal of 448956 is 659844.

448956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×448956² = 403122979872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 448956.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448956.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1971 + ... + 2186.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2⁴⁴⁸⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

448956 is an abundant number, since it is smaller than the sum of its proper divisors (715284).

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

448956 is a wasteful number, since it uses less digits than its factorization.

448956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4162 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 448956 is about 670.0417897415. The cubic root of 448956 is about 76.5716360887.

The spelling of 448956 in words is "four hundred forty-eight thousand, nine hundred fifty-six".