411920000 has 160 divisors (see below), whose sum is σ = 1083403200. Its totient is φ = 155520000.

The previous prime is 411919999. The next prime is 411920011. The reversal of 411920000 is 29114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1519865 + ... + 1520135.

It is an arithmetic number, because the mean of its divisors is an integer number (6771270).

Almost surely, 2^411920000 is an apocalyptic number.

411920000 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 411920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541701600).

411920000 is an abundant number, since it is smaller than the sum of its proper divisors (671483200).

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

411920000 is an equidigital number, since it uses as much as digits as its factorization.

411920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 411920000 is about 20295.8123759558. The cubic root of 411920000 is about 744.0537210217.

Adding to 411920000 its reverse (29114), we get a palindrome (411949114).

The spelling of 411920000 in words is "four hundred eleven million, nine hundred twenty thousand".