413074100 has 18 divisors (see below), whose sum is σ = 896371014. Its totient is φ = 165229600.

The previous prime is 413074097. The next prime is 413074121. The reversal of 413074100 is 1470314.

It can be written as a sum of positive squares in 3 ways, for example, as 1227664 + 411846436 = 1108^2 + 20294^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2065271 + ... + 2065470.

Almost surely, 2^413074100 is an apocalyptic number.

It is an amenable number.

413074100 is an abundant number, since it is smaller than the sum of its proper divisors (483296914).

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

413074100 is a wasteful number, since it uses less digits than its factorization.

413074100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130755 (or 4130748 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 413074100 is about 20324.2244624487. The cubic root of 413074100 is about 744.7479591241.

The spelling of 413074100 in words is "four hundred thirteen million, seventy-four thousand, one hundred".