413553312 has 72 divisors (see below), whose sum is σ = 1179330516. Its totient is φ = 137465856.

The previous prime is 413553307. The next prime is 413553313. The reversal of 413553312 is 213355314.

It can be written as a sum of positive squares in 2 ways, for example, as 384003216 + 29550096 = 19596^2 + 5436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (413553313) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 112528 + ... + 116144.

Almost surely, 2^413553312 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 413553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589665258).

413553312 is an abundant number, since it is smaller than the sum of its proper divisors (765777204).

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

413553312 is a wasteful number, since it uses less digits than its factorization.

413553312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4019 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 413553312 is about 20336.0102281642. The cubic root of 413553312 is about 745.0358447087.

The spelling of 413553312 in words is "four hundred thirteen million, five hundred fifty-three thousand, three hundred twelve".