413929472 has 52 divisors (see below), whose sum is σ = 903106896. Its totient is φ = 188129280.

The previous prime is 413929429. The next prime is 413929487. The reversal of 413929472 is 274929314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40463 + ... + 49649.

Almost surely, 2^413929472 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 413929472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451553448).

413929472 is an abundant number, since it is smaller than the sum of its proper divisors (489177424).

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

413929472 is an equidigital number, since it uses as much as digits as its factorization.

413929472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 9200 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 413929472 is about 20345.2567445093. The cubic root of 413929472 is about 745.2616662633.

The spelling of 413929472 in words is "four hundred thirteen million, nine hundred twenty-nine thousand, four hundred seventy-two".