413272032 has 24 divisors (see below), whose sum is σ = 1084839336. Its totient is φ = 137757312.

The previous prime is 413272031. The next prime is 413272037. The reversal of 413272032 is 230272314.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 413271993 and 413272011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413272031) 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 3 ways as a sum of consecutive naturals, for example, 2152363 + ... + 2152554.

It is an arithmetic number, because the mean of its divisors is an integer number (45201639).

Almost surely, 2^413272032 is an apocalyptic number.

It is an amenable number.

413272032 is an abundant number, since it is smaller than the sum of its proper divisors (671567304).

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

413272032 is a wasteful number, since it uses less digits than its factorization.

413272032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304930 (or 4304922 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 413272032 is about 20329.0932409687. The cubic root of 413272032 is about 744.8668933255.

The spelling of 413272032 in words is "four hundred thirteen million, two hundred seventy-two thousand, thirty-two".