413203032 has 256 divisors, whose sum is σ = 1346112000. Its totient is φ = 117573120.

The previous prime is 413202973. The next prime is 413203033. The reversal of 413203032 is 230302314.

413203032 is a `hidden beast` number, since 41 + 320 + 303 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 413202996 and 413203014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413203033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3656608 + ... + 3656720.

It is an arithmetic number, because the mean of its divisors is an integer number (5258250).

Almost surely, 2^413203032 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 413203032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673056000).

413203032 is an abundant number, since it is smaller than the sum of its proper divisors (932908968).

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

413203032 is a wasteful number, since it uses less digits than its factorization.

413203032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 413203032 is about 20327.3960949257. The cubic root of 413203032 is about 744.8254366317.

Adding to 413203032 its reverse (230302314), we get a palindrome (643505346).

The spelling of 413203032 in words is "four hundred thirteen million, two hundred three thousand, thirty-two".