411098688 has 672 divisors, whose sum is σ = 1704148992. Its totient is φ = 91238400.

The previous prime is 411098683. The next prime is 411098713. The reversal of 411098688 is 886890114.

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 (411098683) 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, 13261233 + ... + 13261263.

It is an arithmetic number, because the mean of its divisors is an integer number (2535936).

Almost surely, 2^411098688 is an apocalyptic number.

411098688 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 411098688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852074496).

411098688 is an abundant number, since it is smaller than the sum of its proper divisors (1293050304).

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

411098688 is a wasteful number, since it uses less digits than its factorization.

411098688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 411098688 is about 20275.5687466468. The cubic root of 411098688 is about 743.5588782931.

The spelling of 411098688 in words is "four hundred eleven million, ninety-eight thousand, six hundred eighty-eight".