413906000 has 40 divisors (see below), whose sum is σ = 1000829544. Its totient is φ = 165561600.

The previous prime is 413905997. The next prime is 413906023. The reversal of 413906000 is 609314.

It can be written as a sum of positive squares in 4 ways, for example, as 102171664 + 311734336 = 10108^2 + 17656^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 101477 + ... + 105476.

Almost surely, 2^413906000 is an apocalyptic number.

413906000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413906000 is an abundant number, since it is smaller than the sum of its proper divisors (586923544).

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

413906000 is a wasteful number, since it uses less digits than its factorization.

413906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206976 (or 206960 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 413906000 is about 20344.6798942623. The cubic root of 413906000 is about 745.2475792318.

The spelling of 413906000 in words is "four hundred thirteen million, nine hundred six thousand".