413001232 has 60 divisors (see below), whose sum is σ = 930678528. Its totient is φ = 173923200.

The previous prime is 413001229. The next prime is 413001269. The reversal of 413001232 is 232100314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 416257 + ... + 417247.

Almost surely, 2^413001232 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 413001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465339264).

413001232 is an abundant number, since it is smaller than the sum of its proper divisors (517677296).

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

413001232 is an equidigital number, since it uses as much as digits as its factorization.

413001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 413001232 is about 20322.4317442574. The cubic root of 413001232 is about 744.7041643298.

Adding to 413001232 its reverse (232100314), we get a palindrome (645101546).

The spelling of 413001232 in words is "four hundred thirteen million, one thousand, two hundred thirty-two".