411408704 has 84 divisors (see below), whose sum is σ = 1005670836. Its totient is φ = 165924864.

The previous prime is 411408689. The next prime is 411408709. The reversal of 411408704 is 407804114.

It can be written as a sum of positive squares in 2 ways, for example, as 263737600 + 147671104 = 16240^2 + 12152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411408709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49454 + ... + 57170.

Almost surely, 2^411408704 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 411408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502835418).

411408704 is an abundant number, since it is smaller than the sum of its proper divisors (594262132).

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

411408704 is a wasteful number, since it uses less digits than its factorization.

411408704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 7743 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 411408704 is about 20283.2123688532. The cubic root of 411408704 is about 743.7457411521.

The spelling of 411408704 in words is "four hundred eleven million, four hundred eight thousand, seven hundred four".