411768000 has 672 divisors, whose sum is σ = 1813194240. Its totient is φ = 87091200.

The previous prime is 411767989. The next prime is 411768001. The reversal of 411768000 is 867114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (411768001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9575979 + ... + 9576021.

Almost surely, 2^411768000 is an apocalyptic number.

411768000 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 411768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906597120).

411768000 is an abundant number, since it is smaller than the sum of its proper divisors (1401426240).

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

411768000 is a wasteful number, since it uses less digits than its factorization.

411768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 411768000 is about 20292.0674156184. The cubic root of 411768000 is about 743.9621902395.

The spelling of 411768000 in words is "four hundred eleven million, seven hundred sixty-eight thousand".