413886720 has 144 divisors (see below), whose sum is σ = 1423703232. Its totient is φ = 101867520.

The previous prime is 413886719. The next prime is 413886751. The reversal of 413886720 is 27688314.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45775 + ... + 54065.

It is an arithmetic number, because the mean of its divisors is an integer number (9886828).

Almost surely, 2^413886720 is an apocalyptic number.

413886720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711851616).

413886720 is an abundant number, since it is smaller than the sum of its proper divisors (1009816512).

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

413886720 is a wasteful number, since it uses less digits than its factorization.

413886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 413886720 is about 20344.2060547960. The cubic root of 413886720 is about 745.2360076863.

The spelling of 413886720 in words is "four hundred thirteen million, eight hundred eighty-six thousand, seven hundred twenty".