413189504 has 128 divisors (see below), whose sum is σ = 1067001600. Its totient is φ = 154773504.

The previous prime is 413189501. The next prime is 413189533. The reversal of 413189504 is 405981314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413189501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220379 + ... + 222245.

It is an arithmetic number, because the mean of its divisors is an integer number (8335950).

Almost surely, 2^413189504 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 413189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533500800).

413189504 is an abundant number, since it is smaller than the sum of its proper divisors (653812096).

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

413189504 is a wasteful number, since it uses less digits than its factorization.

413189504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 413189504 is about 20327.0633393021. The cubic root of 413189504 is about 744.8173081753.

The spelling of 413189504 in words is "four hundred thirteen million, one hundred eighty-nine thousand, five hundred four".