411408 has 30 divisors (see below), whose sum is σ = 1151774. Its totient is φ = 137088.

The previous prime is 411379. The next prime is 411409. The reversal of 411408 is 804114.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 36864 = 612^2 + 192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (411409) by changing a digit.

411408 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1285 + ... + 1572.

2⁴¹¹⁴⁰⁸ is an apocalyptic number.

411408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

411408 is an abundant number, since it is smaller than the sum of its proper divisors (740366).

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

411408 is a wasteful number, since it uses less digits than its factorization.

411408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 411408 is about 641.4109447149. The cubic root of 411408 is about 74.3745316921.

The spelling of 411408 in words is "four hundred eleven thousand, four hundred eight".