413696808 has 288 divisors, whose sum is σ = 1396755360. Its totient is φ = 114307200.

The previous prime is 413696807. The next prime is 413696839. The reversal of 413696808 is 808696314.

It is a super-2 number, since 2×413696808² = 342290097898777728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413696807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4095958 + ... + 4096058.

It is an arithmetic number, because the mean of its divisors is an integer number (4849845).

Almost surely, 2^413696808 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 413696808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698377680).

413696808 is an abundant number, since it is smaller than the sum of its proper divisors (983058552).

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

413696808 is a wasteful number, since it uses less digits than its factorization.

413696808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 413696808 is about 20339.5380478515. The cubic root of 413696808 is about 745.1220063535.

The spelling of 413696808 in words is "four hundred thirteen million, six hundred ninety-six thousand, eight hundred eight".