413609088 has 128 divisors (see below), whose sum is σ = 1156288320. Its totient is φ = 130830336.

The previous prime is 413609087. The next prime is 413609093. The reversal of 413609088 is 880906314.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (413609087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 610606 + ... + 611282.

Almost surely, 2^413609088 is an apocalyptic number.

413609088 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 413609088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578144160).

413609088 is an abundant number, since it is smaller than the sum of its proper divisors (742679232).

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

413609088 is a wasteful number, since it uses less digits than its factorization.

413609088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 413609088 is about 20337.3815423717. The cubic root of 413609088 is about 745.0693375701.

The spelling of 413609088 in words is "four hundred thirteen million, six hundred nine thousand, eighty-eight".