413732928 has 112 divisors (see below), whose sum is σ = 1280322560. Its totient is φ = 115444224.

The previous prime is 413732911. The next prime is 413732939. The reversal of 413732928 is 829237314.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×413732928³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54213 + ... + 61371.

Almost surely, 2^413732928 is an apocalyptic number.

413732928 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 413732928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640161280).

413732928 is an abundant number, since it is smaller than the sum of its proper divisors (866589632).

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

413732928 is a wasteful number, since it uses less digits than its factorization.

413732928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224 (or 7214 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 413732928 is about 20340.4259542420. The cubic root of 413732928 is about 745.1436913356.

The spelling of 413732928 in words is "four hundred thirteen million, seven hundred thirty-two thousand, nine hundred twenty-eight".