413216928 has 144 divisors (see below), whose sum is σ = 1224359136. Its totient is φ = 132088320.

The previous prime is 413216917. The next prime is 413217031. The reversal of 413216928 is 829612314.

413216928 is a `hidden beast` number, since 413 + 216 + 9 + 28 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 413216892 and 413216901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755151 + ... + 755697.

It is an arithmetic number, because the mean of its divisors is an integer number (8502494).

Almost surely, 2^413216928 is an apocalyptic number.

413216928 is a gapful number since it is divisible by the number (48) 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 413216928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612179568).

413216928 is an abundant number, since it is smaller than the sum of its proper divisors (811142208).

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

413216928 is a wasteful number, since it uses less digits than its factorization.

413216928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 656 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 413216928 is about 20327.7378967754. The cubic root of 413216928 is about 744.8337860205.

The spelling of 413216928 in words is "four hundred thirteen million, two hundred sixteen thousand, nine hundred twenty-eight".