413267832 has 80 divisors (see below), whose sum is σ = 1168351800. Its totient is φ = 136468800.

The previous prime is 413267831. The next prime is 413267839. The reversal of 413267832 is 238762314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413267831) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67707 + ... + 73557.

Almost surely, 2^413267832 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 413267832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584175900).

413267832 is an abundant number, since it is smaller than the sum of its proper divisors (755083968).

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

413267832 is a wasteful number, since it uses less digits than its factorization.

413267832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5965 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 413267832 is about 20328.9899404766. The cubic root of 413267832 is about 744.8643700065.

The spelling of 413267832 in words is "four hundred thirteen million, two hundred sixty-seven thousand, eight hundred thirty-two".