411045888 has 104 divisors (see below), whose sum is σ = 1196017056. Its totient is φ = 124518400.

The previous prime is 411045851. The next prime is 411045889. The reversal of 411045888 is 888540114.

It is not an unprimeable number, because it can be changed into a prime (411045889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133648 + ... + 136688.

It is an arithmetic number, because the mean of its divisors is an integer number (11500164).

Almost surely, 2^411045888 is an apocalyptic number.

411045888 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 411045888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598008528).

411045888 is an abundant number, since it is smaller than the sum of its proper divisors (784971168).

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

411045888 is a wasteful number, since it uses less digits than its factorization.

411045888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 411045888 is about 20274.2666451835. The cubic root of 411045888 is about 743.5270436098.

The spelling of 411045888 in words is "four hundred eleven million, forty-five thousand, eight hundred eighty-eight".