411742800 has 180 divisors, whose sum is σ = 1633084960. Its totient is φ = 94106880.

The previous prime is 411742777. The next prime is 411742801. The reversal of 411742800 is 8247114.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411742801) 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 35 ways as a sum of consecutive naturals, for example, 17031 + ... + 33369.

Almost surely, 2^411742800 is an apocalyptic number.

411742800 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 411742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816542480).

411742800 is an abundant number, since it is smaller than the sum of its proper divisors (1221342160).

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

411742800 is a wasteful number, since it uses less digits than its factorization.

411742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16370 (or 16356 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 411742800 is about 20291.4464738224. The cubic root of 411742800 is about 743.9470132226.

Adding to 411742800 its reverse (8247114), we get a palindrome (419989914).

The spelling of 411742800 in words is "four hundred eleven million, seven hundred forty-two thousand, eight hundred".