411986448 has 60 divisors (see below), whose sum is σ = 1154553088. Its totient is φ = 137142720.

The previous prime is 411986447. The next prime is 411986503. The reversal of 411986448 is 844689114.

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

It is not an unprimeable number, because it can be changed into a prime (411986447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141261 + ... + 144147.

Almost surely, 2^411986448 is an apocalyptic number.

411986448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

411986448 is an abundant number, since it is smaller than the sum of its proper divisors (742566640).

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

411986448 is a wasteful number, since it uses less digits than its factorization.

411986448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3883 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 411986448 is about 20297.4492978798. The cubic root of 411986448 is about 744.0937273526.

Subtracting from 411986448 its product of digits (221184), we obtain a square (411765264 = 20292²).

The spelling of 411986448 in words is "four hundred eleven million, nine hundred eighty-six thousand, four hundred forty-eight".