411880320 has 192 divisors, whose sum is σ = 1484589600. Its totient is φ = 105025536.

The previous prime is 411880307. The next prime is 411880351. The reversal of 411880320 is 23088114.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 130926 + ... + 134034.

Almost surely, 2^411880320 is an apocalyptic number.

411880320 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 411880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742294800).

411880320 is an abundant number, since it is smaller than the sum of its proper divisors (1072709280).

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

411880320 is a wasteful number, since it uses less digits than its factorization.

411880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 411880320 is about 20294.8348108577. The cubic root of 411880320 is about 744.0298288422.

The spelling of 411880320 in words is "four hundred eleven million, eight hundred eighty thousand, three hundred twenty".