413448 has 64 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 111936.

The previous prime is 413443. The next prime is 413461. The reversal of 413448 is 844314.

It is a Cunningham number, because it is equal to 643²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3811 + ... + 3917.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2⁴¹³⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

413448 is an abundant number, since it is smaller than the sum of its proper divisors (830712).

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

413448 is a wasteful number, since it uses less digits than its factorization.

413448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 413448 is about 642.9992223946. Note that the first 3 decimals coincide. The cubic root of 413448 is about 74.4972597824.

It can be divided in two parts, 413 and 448, that added together give a triangular number (861 = T₄₁).

The spelling of 413448 in words is "four hundred thirteen thousand, four hundred forty-eight".