416448 has 56 divisors (see below), whose sum is σ = 1229360. Its totient is φ = 138240.

The previous prime is 416443. The next prime is 416459. The reversal of 416448 is 844614.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1608 + ... + 1848.

2⁴¹⁶⁴⁴⁸ is an apocalyptic number.

416448 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 416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614680).

416448 is an abundant number, since it is smaller than the sum of its proper divisors (812912).

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

416448 is a wasteful number, since it uses less digits than its factorization.

416448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 416448 is about 645.3278236679. The cubic root of 416448 is about 74.6770110385.

The spelling of 416448 in words is "four hundred sixteen thousand, four hundred forty-eight".