411429888 has 176 divisors, whose sum is σ = 1273397760. Its totient is φ = 130977792.

The previous prime is 411429881. The next prime is 411429901. The reversal of 411429888 is 888924114.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (411429881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635581 + ... + 636227.

Almost surely, 2^411429888 is an apocalyptic number.

411429888 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 411429888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636698880).

411429888 is an abundant number, since it is smaller than the sum of its proper divisors (861967872).

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

411429888 is a wasteful number, since it uses less digits than its factorization.

411429888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 675 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 411429888 is about 20283.7345673818. The cubic root of 411429888 is about 743.7585064300.

The spelling of 411429888 in words is "four hundred eleven million, four hundred twenty-nine thousand, eight hundred eighty-eight".