413865152 has 56 divisors (see below), whose sum is σ = 849599520. Its totient is φ = 199895040.

The previous prime is 413865149. The next prime is 413865157. The reversal of 413865152 is 251568314.

It is not an unprimeable number, because it can be changed into a prime (413865157) 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 7 ways as a sum of consecutive naturals, for example, 285293 + ... + 286739.

It is an arithmetic number, because the mean of its divisors is an integer number (15171420).

Almost surely, 2^413865152 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 413865152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424799760).

413865152 is an abundant number, since it is smaller than the sum of its proper divisors (435734368).

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

413865152 is a wasteful number, since it uses less digits than its factorization.

413865152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1599 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 413865152 is about 20343.6759706794. The cubic root of 413865152 is about 745.2230624941.

The spelling of 413865152 in words is "four hundred thirteen million, eight hundred sixty-five thousand, one hundred fifty-two".