411628896 has 144 divisors (see below), whose sum is σ = 1356604704. Its totient is φ = 115955712.

The previous prime is 411628879. The next prime is 411628897. The reversal of 411628896 is 698826114.

411628896 is a `hidden beast` number, since 4 + 11 + 628 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411628897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145770 + ... + 148566.

It is an arithmetic number, because the mean of its divisors is an integer number (9420866).

Almost surely, 2^411628896 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 411628896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678302352).

411628896 is an abundant number, since it is smaller than the sum of its proper divisors (944975808).

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

411628896 is a wasteful number, since it uses less digits than its factorization.

411628896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2882 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 411628896 is about 20288.6395798240. The cubic root of 411628896 is about 743.8784053799.

The spelling of 411628896 in words is "four hundred eleven million, six hundred twenty-eight thousand, eight hundred ninety-six".