413390208 has 384 divisors, whose sum is σ = 1458616320. Its totient is φ = 101376000.

The previous prime is 413390147. The next prime is 413390227. The reversal of 413390208 is 802093314.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10082668 + ... + 10082708.

It is an arithmetic number, because the mean of its divisors is an integer number (3798480).

Almost surely, 2^413390208 is an apocalyptic number.

413390208 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 413390208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729308160).

413390208 is an abundant number, since it is smaller than the sum of its proper divisors (1045226112).

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

413390208 is a wasteful number, since it uses less digits than its factorization.

413390208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 413390208 is about 20331.9996065316. Note that the first 3 decimals coincide. The cubic root of 413390208 is about 744.9378853067.

The spelling of 413390208 in words is "four hundred thirteen million, three hundred ninety thousand, two hundred eight".