413215104 has 64 divisors (see below), whose sum is σ = 1101257280. Its totient is φ = 137280000.

The previous prime is 413215087. The next prime is 413215111. The reversal of 413215104 is 401512314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125479 + ... + 128729.

It is an arithmetic number, because the mean of its divisors is an integer number (17207145).

Almost surely, 2^413215104 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 413215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550628640).

413215104 is an abundant number, since it is smaller than the sum of its proper divisors (688042176).

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

413215104 is a wasteful number, since it uses less digits than its factorization.

413215104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 413215104 is about 20327.6930319208. The cubic root of 413215104 is about 744.8326900838.

Adding to 413215104 its reverse (401512314), we get a palindrome (814727418).

The spelling of 413215104 in words is "four hundred thirteen million, two hundred fifteen thousand, one hundred four".