416383344 has 120 divisors (see below), whose sum is σ = 1260513072. Its totient is φ = 127549440.

The previous prime is 416383333. The next prime is 416383399. The reversal of 416383344 is 443383614.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 416383299 and 416383308.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 649264 + ... + 649904.

Almost surely, 2^416383344 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 416383344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630256536).

416383344 is an abundant number, since it is smaller than the sum of its proper divisors (844129728).

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

416383344 is a wasteful number, since it uses less digits than its factorization.

416383344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1006 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 416383344 is about 20405.4733833842. The cubic root of 416383344 is about 746.7314615681.

The spelling of 416383344 in words is "four hundred sixteen million, three hundred eighty-three thousand, three hundred forty-four".