411804000 has 480 divisors, whose sum is σ = 1598268672. Its totient is φ = 103680000.

The previous prime is 411803993. The next prime is 411804007. The reversal of 411804000 is 408114.

It is an interprime number because it is at equal distance from previous prime (411803993) and next prime (411804007).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411804007) 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 79 ways as a sum of consecutive naturals, for example, 10043980 + ... + 10044020.

Almost surely, 2^411804000 is an apocalyptic number.

411804000 is a gapful number since it is divisible by the number (40) 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 411804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799134336).

411804000 is an abundant number, since it is smaller than the sum of its proper divisors (1186464672).

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

411804000 is a wasteful number, since it uses less digits than its factorization.

411804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

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

The square root of 411804000 is about 20292.9544423674. The cubic root of 411804000 is about 743.9838706181.

The spelling of 411804000 in words is "four hundred eleven million, eight hundred four thousand".