413194000 has 40 divisors (see below), whose sum is σ = 999107928. Its totient is φ = 165276800.

The previous prime is 413193997. The next prime is 413194021. The reversal of 413194000 is 491314.

It can be written as a sum of positive squares in 4 ways, for example, as 38539264 + 374654736 = 6208^2 + 19356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 101299 + ... + 105298.

Almost surely, 2^413194000 is an apocalyptic number.

413194000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413194000 is an abundant number, since it is smaller than the sum of its proper divisors (585913928).

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

413194000 is a wasteful number, since it uses less digits than its factorization.

413194000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206620 (or 206604 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 413194000 is about 20327.1739304804. The cubic root of 413194000 is about 744.8200096690.

The spelling of 413194000 in words is "four hundred thirteen million, one hundred ninety-four thousand".