411931104 has 192 divisors, whose sum is σ = 1235533824. Its totient is φ = 119218176.

The previous prime is 411931103. The next prime is 411931133. The reversal of 411931104 is 401139114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411931103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3243489 + ... + 3243615.

It is an arithmetic number, because the mean of its divisors is an integer number (6435072).

Almost surely, 2^411931104 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 411931104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617766912).

411931104 is an abundant number, since it is smaller than the sum of its proper divisors (823602720).

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

411931104 is a wasteful number, since it uses less digits than its factorization.

411931104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 411931104 is about 20296.0859280798. The cubic root of 411931104 is about 744.0604067036.

The spelling of 411931104 in words is "four hundred eleven million, nine hundred thirty-one thousand, one hundred four".