414385137 has 6 divisors (see below), whose sum is σ = 598556322. Its totient is φ = 276256752.

The previous prime is 414385129. The next prime is 414385159. The reversal of 414385137 is 731583414.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 381655296 + 32729841 = 19536^2 + 5721^2 .

It is not a de Polignac number, because 414385137 - 2³ = 414385129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414385177) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23021388 + ... + 23021405.

It is an arithmetic number, because the mean of its divisors is an integer number (99759387).

Almost surely, 2^414385137 is an apocalyptic number.

It is an amenable number.

414385137 is a deficient number, since it is larger than the sum of its proper divisors (184171185).

414385137 is a wasteful number, since it uses less digits than its factorization.

414385137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46042799 (or 46042796 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 414385137 is about 20356.4519747426. The cubic root of 414385137 is about 745.5350341890.

The spelling of 414385137 in words is "four hundred fourteen million, three hundred eighty-five thousand, one hundred thirty-seven".