413459648 has 84 divisors (see below), whose sum is σ = 985430592. Its totient is φ = 171440640.

The previous prime is 413459639. The next prime is 413459659. The reversal of 413459648 is 846954314.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 413459599 and 413459608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95090 + ... + 99342.

Almost surely, 2^413459648 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 413459648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492715296).

413459648 is an abundant number, since it is smaller than the sum of its proper divisors (571970944).

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

413459648 is a wasteful number, since it uses less digits than its factorization.

413459648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4293 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 413459648 is about 20333.7071878199. The cubic root of 413459648 is about 744.9795937536.

The spelling of 413459648 in words is "four hundred thirteen million, four hundred fifty-nine thousand, six hundred forty-eight".