410448 has 40 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 128512.

The previous prime is 410413. The next prime is 410453. The reversal of 410448 is 844014.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565 + ... + 1067.

2⁴¹⁰⁴⁴⁸ is an apocalyptic number.

410448 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 410448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

410448 is an abundant number, since it is smaller than the sum of its proper divisors (714480).

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

410448 is a wasteful number, since it uses less digits than its factorization.

410448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 410448 is about 640.6621574590. The cubic root of 410448 is about 74.3166368867.

It can be divided in two parts, 410 and 448, that added together give a palindrome (858).

The spelling of 410448 in words is "four hundred ten thousand, four hundred forty-eight".