413057144 has 32 divisors (see below), whose sum is σ = 811430400. Its totient is φ = 196875360.

The previous prime is 413057123. The next prime is 413057153. The reversal of 413057144 is 441750314.

It is a happy number.

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, 4187 + ... + 29045.

It is an arithmetic number, because the mean of its divisors is an integer number (25357200).

Almost surely, 2^413057144 is an apocalyptic number.

It is an amenable number.

413057144 is a deficient number, since it is larger than the sum of its proper divisors (398373256).

413057144 is a wasteful number, since it uses less digits than its factorization.

413057144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24963 (or 24959 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 413057144 is about 20323.8073204801. The cubic root of 413057144 is about 744.7377687658.

The spelling of 413057144 in words is "four hundred thirteen million, fifty-seven thousand, one hundred forty-four".