448392 has 64 divisors (see below), whose sum is σ = 1365120. Its totient is φ = 119808.

The previous prime is 448387. The next prime is 448397. The reversal of 448392 is 293844.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (448387) and next prime (448397).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (448397) by changing a digit.

448392 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 15 ways as a sum of consecutive naturals, for example, 2778 + ... + 2934.

It is an arithmetic number, because the mean of its divisors is an integer number (21330).

2⁴⁴⁸³⁹² is an apocalyptic number.

448392 is a gapful number since it is divisible by the number (42) 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 448392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682560).

448392 is an abundant number, since it is smaller than the sum of its proper divisors (916728).

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

448392 is a wasteful number, since it uses less digits than its factorization.

448392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 448392 is about 669.6207882078. The cubic root of 448392 is about 76.5395583352.

It can be divided in two parts, 448 and 392, that multiplied together give a cube (175616 = 56³).

The spelling of 448392 in words is "four hundred forty-eight thousand, three hundred ninety-two".