413528752 has 80 divisors (see below), whose sum is σ = 991936512. Its totient is φ = 162627840.

The previous prime is 413528743. The next prime is 413528803. The reversal of 413528752 is 257825314.

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, 277353 + ... + 278839.

Almost surely, 2^413528752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413528752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495968256).

413528752 is an abundant number, since it is smaller than the sum of its proper divisors (578407760).

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

413528752 is a wasteful number, since it uses less digits than its factorization.

413528752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1700 counting only the distinct ones).

The product of its digits is 67200, while the sum is 37.

The square root of 413528752 is about 20335.4063642702. The cubic root of 413528752 is about 745.0210957496.

The spelling of 413528752 in words is "four hundred thirteen million, five hundred twenty-eight thousand, seven hundred fifty-two".