413933328 has 100 divisors (see below), whose sum is σ = 1236809728. Its totient is φ = 133513920.

The previous prime is 413933293. The next prime is 413933419. The reversal of 413933328 is 823339314.

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 = 413933292 and 413933301.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35025 + ... + 45327.

Almost surely, 2^413933328 is an apocalyptic number.

413933328 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 413933328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618404864).

413933328 is an abundant number, since it is smaller than the sum of its proper divisors (822876400).

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

413933328 is a wasteful number, since it uses less digits than its factorization.

413933328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10354 (or 10339 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 413933328 is about 20345.3515083913. The cubic root of 413933328 is about 745.2639804418.

The spelling of 413933328 in words is "four hundred thirteen million, nine hundred thirty-three thousand, three hundred twenty-eight".