411775872 has 128 divisors (see below), whose sum is σ = 1145664000. Its totient is φ = 130873344.

The previous prime is 411775829. The next prime is 411775873. The reversal of 411775872 is 278577114.

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

It is a super-2 number, since 2×411775872² = 339118737522720768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411775873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146829 + ... + 1147187.

It is an arithmetic number, because the mean of its divisors is an integer number (8950500).

Almost surely, 2^411775872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572832000).

411775872 is an abundant number, since it is smaller than the sum of its proper divisors (733888128).

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

411775872 is a wasteful number, since it uses less digits than its factorization.

411775872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its digits is 109760, while the sum is 42.

The square root of 411775872 is about 20292.2613821131. The cubic root of 411775872 is about 743.9669311236.

The spelling of 411775872 in words is "four hundred eleven million, seven hundred seventy-five thousand, eight hundred seventy-two".