413875728 has 240 divisors, whose sum is σ = 1381625856. Its totient is φ = 113218560.

The previous prime is 413875723. The next prime is 413875729. The reversal of 413875728 is 827578314.

413875728 is a `hidden beast` number, since 41 + 38 + 7 + 572 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (413875723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3258801 + ... + 3258927.

Almost surely, 2^413875728 is an apocalyptic number.

413875728 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 413875728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690812928).

413875728 is an abundant number, since it is smaller than the sum of its proper divisors (967750128).

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

413875728 is a wasteful number, since it uses less digits than its factorization.

413875728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 413875728 is about 20343.9359023764. The cubic root of 413875728 is about 745.2294103040.

The spelling of 413875728 in words is "four hundred thirteen million, eight hundred seventy-five thousand, seven hundred twenty-eight".