411284448 has 144 divisors (see below), whose sum is σ = 1219890672. Its totient is φ = 131328000.

The previous prime is 411284441. The next prime is 411284473. The reversal of 411284448 is 844482114.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 (411284441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720003 + ... + 720573.

It is an arithmetic number, because the mean of its divisors is an integer number (8471463).

Almost surely, 2^411284448 is an apocalyptic number.

411284448 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 411284448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609945336).

411284448 is an abundant number, since it is smaller than the sum of its proper divisors (808606224).

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

411284448 is a wasteful number, since it uses less digits than its factorization.

411284448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 678 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 411284448 is about 20280.1491118779. The cubic root of 411284448 is about 743.6708568376.

The spelling of 411284448 in words is "four hundred eleven million, two hundred eighty-four thousand, four hundred forty-eight".