411809088 has 112 divisors (see below), whose sum is σ = 1170578304. Its totient is φ = 127303680.

The previous prime is 411809063. The next prime is 411809117. The reversal of 411809088 is 880908114.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230856 + ... + 232632.

It is an arithmetic number, because the mean of its divisors is an integer number (10451592).

Almost surely, 2^411809088 is an apocalyptic number.

411809088 is a gapful number since it is divisible by the number (48) 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 411809088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585289152).

411809088 is an abundant number, since it is smaller than the sum of its proper divisors (758769216).

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

411809088 is a wasteful number, since it uses less digits than its factorization.

411809088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 411809088 is about 20293.0798056875. The cubic root of 411809088 is about 743.9869346763.

The spelling of 411809088 in words is "four hundred eleven million, eight hundred nine thousand, eighty-eight".