411200000 has 120 divisors (see below), whose sum is σ = 1030926204. Its totient is φ = 163840000.

The previous prime is 411199991. The next prime is 411200047. The reversal of 411200000 is 2114.

It can be written as a sum of positive squares in 6 ways, for example, as 246016 + 410953984 = 496^2 + 20272^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1599872 + ... + 1600128.

Almost surely, 2^411200000 is an apocalyptic number.

411200000 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 411200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515463102).

411200000 is an abundant number, since it is smaller than the sum of its proper divisors (619726204).

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

411200000 is an frugal number, since it uses more digits than its factorization.

411200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 411200000 is about 20278.0669690185. The cubic root of 411200000 is about 743.6199546655.

Adding to 411200000 its reverse (2114), we get a palindrome (411202114).

The spelling of 411200000 in words is "four hundred eleven million, two hundred thousand".