416441328 has 20 divisors (see below), whose sum is σ = 1075806888. Its totient is φ = 138813760.

The previous prime is 416441323. The next prime is 416441329. The reversal of 416441328 is 823144614.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416441323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4337883 + ... + 4337978.

Almost surely, 2^416441328 is an apocalyptic number.

416441328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

416441328 is an abundant number, since it is smaller than the sum of its proper divisors (659365560).

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

416441328 is a wasteful number, since it uses less digits than its factorization.

416441328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8675872 (or 8675866 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 416441328 is about 20406.8941291908. The cubic root of 416441328 is about 746.7661223104.

The spelling of 416441328 in words is "four hundred sixteen million, four hundred forty-one thousand, three hundred twenty-eight".