414137983 has 16 divisors (see below), whose sum is σ = 479395840. Its totient is φ = 350433216.

The previous prime is 414137957. The next prime is 414137989. The reversal of 414137983 is 389731414.

It is a de Polignac number, because none of the positive numbers 2^k-414137983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414137989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197203 + ... + 199291.

It is an arithmetic number, because the mean of its divisors is an integer number (29962240).

Almost surely, 2^414137983 is an apocalyptic number.

414137983 is a deficient number, since it is larger than the sum of its proper divisors (65257857).

414137983 is a wasteful number, since it uses less digits than its factorization.

414137983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446.

The product of its digits is 72576, while the sum is 40.

The square root of 414137983 is about 20350.3804141348. The cubic root of 414137983 is about 745.3867835279.

It can be divided in two parts, 4141 and 37983, that added together give a palindrome (42124).

The spelling of 414137983 in words is "four hundred fourteen million, one hundred thirty-seven thousand, nine hundred eighty-three".