413443992 has 64 divisors (see below), whose sum is σ = 1118880000. Its totient is φ = 126555264.

The previous prime is 413443967. The next prime is 413444023. The reversal of 413443992 is 299344314.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 413443992.

It is a congruent number.

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, 58759 + ... + 65417.

It is an arithmetic number, because the mean of its divisors is an integer number (17482500).

Almost surely, 2^413443992 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 413443992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559440000).

413443992 is an abundant number, since it is smaller than the sum of its proper divisors (705436008).

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

413443992 is a wasteful number, since it uses less digits than its factorization.

413443992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6876 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 413443992 is about 20333.3222076472. The cubic root of 413443992 is about 744.9701905404.

The spelling of 413443992 in words is "four hundred thirteen million, four hundred forty-three thousand, nine hundred ninety-two".