416276416 has 56 divisors (see below), whose sum is σ = 891265680. Its totient is φ = 192172032.

The previous prime is 416276327. The next prime is 416276437. The reversal of 416276416 is 614672614.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54055 + ... + 61273.

Almost surely, 2^416276416 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 416276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445632840).

416276416 is an abundant number, since it is smaller than the sum of its proper divisors (474989264).

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

416276416 is a wasteful number, since it uses less digits than its factorization.

416276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7301 (or 7291 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 416276416 is about 20402.8531338144. The cubic root of 416276416 is about 746.6675354298.

The spelling of 416276416 in words is "four hundred sixteen million, two hundred seventy-six thousand, four hundred sixteen".