411434880 has 128 divisors (see below), whose sum is σ = 1317146400. Its totient is φ = 109240320.

The previous prime is 411434831. The next prime is 411434887. The reversal of 411434880 is 88434114.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×411434880⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411434887) 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, 808066 + ... + 808574.

Almost surely, 2^411434880 is an apocalyptic number.

411434880 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 411434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658573200).

411434880 is an abundant number, since it is smaller than the sum of its proper divisors (905711520).

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

411434880 is a wasteful number, since it uses less digits than its factorization.

411434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 411434880 is about 20283.8576212712. The cubic root of 411434880 is about 743.7615144982.

Adding to 411434880 its reverse (88434114), we get a palindrome (499868994).

The spelling of 411434880 in words is "four hundred eleven million, four hundred thirty-four thousand, eight hundred eighty".