416003328 has 432 divisors, whose sum is σ = 1473151680. Its totient is φ = 111476736.

The previous prime is 416003327. The next prime is 416003333. The reversal of 416003328 is 823300614.

It is a happy number.

416003328 is a `hidden beast` number, since 4 + 1 + 600 + 33 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416003327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9674475 + ... + 9674517.

Almost surely, 2^416003328 is an apocalyptic number.

416003328 is a gapful number since it is divisible by the number (48) 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 416003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736575840).

416003328 is an abundant number, since it is smaller than the sum of its proper divisors (1057148352).

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

416003328 is a wasteful number, since it uses less digits than its factorization.

416003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 416003328 is about 20396.1596385202. The cubic root of 416003328 is about 746.5042220308.

The spelling of 416003328 in words is "four hundred sixteen million, three thousand, three hundred twenty-eight".