413195904 has 160 divisors (see below), whose sum is σ = 1341822240. Its totient is φ = 125176320.

The previous prime is 413195891. The next prime is 413195917. The reversal of 413195904 is 409591314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413195891) and next prime (413195917).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 112237 + ... + 115859.

It is an arithmetic number, because the mean of its divisors is an integer number (8386389).

Almost surely, 2^413195904 is an apocalyptic number.

413195904 is a gapful number since it is divisible by the number (44) 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 413195904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670911120).

413195904 is an abundant number, since it is smaller than the sum of its proper divisors (928626336).

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

413195904 is a wasteful number, since it uses less digits than its factorization.

413195904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 413195904 is about 20327.2207642855. The cubic root of 413195904 is about 744.8211537120.

The spelling of 413195904 in words is "four hundred thirteen million, one hundred ninety-five thousand, nine hundred four".