413232072 has 64 divisors (see below), whose sum is σ = 1131183360. Its totient is φ = 124756800.

The previous prime is 413232031. The next prime is 413232101. The reversal of 413232072 is 270232314.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71947 + ... + 77477.

It is an arithmetic number, because the mean of its divisors is an integer number (17674740).

Almost surely, 2^413232072 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 413232072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565591680).

413232072 is an abundant number, since it is smaller than the sum of its proper divisors (717951288).

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

413232072 is a wasteful number, since it uses less digits than its factorization.

413232072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5830 counting only the distinct ones).

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

The square root of 413232072 is about 20328.1103893107. The cubic root of 413232072 is about 744.8428850548.

Adding to 413232072 its reverse (270232314), we get a palindrome (683464386).

The spelling of 413232072 in words is "four hundred thirteen million, two hundred thirty-two thousand, seventy-two".