413780157 has 144 divisors (see below), whose sum is σ = 796723200. Its totient is φ = 213101280.

The previous prime is 413780113. The next prime is 413780177. The reversal of 413780157 is 751087314.

It is not a de Polignac number, because 413780157 - 2⁶ = 413780093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413780177) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7013194 + ... + 7013252.

It is an arithmetic number, because the mean of its divisors is an integer number (5532800).

Almost surely, 2^413780157 is an apocalyptic number.

It is an amenable number.

413780157 is a deficient number, since it is larger than the sum of its proper divisors (382943043).

413780157 is a wasteful number, since it uses less digits than its factorization.

413780157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 413780157 is about 20341.5868849999. The cubic root of 413780157 is about 745.1720438064.

The spelling of 413780157 in words is "four hundred thirteen million, seven hundred eighty thousand, one hundred fifty-seven".