414405513 has 48 divisors (see below), whose sum is σ = 652743936. Its totient is φ = 252616320.

The previous prime is 414405503. The next prime is 414405517. The reversal of 414405513 is 315504414.

It is a happy number.

414405513 is a `hidden beast` number, since 4 + 144 + 0 + 5 + 513 = 666.

It is not a de Polignac number, because 414405513 - 2⁹ = 414405001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414405517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466756 + ... + 467642.

It is an arithmetic number, because the mean of its divisors is an integer number (13598832).

Almost surely, 2^414405513 is an apocalyptic number.

It is an amenable number.

414405513 is a deficient number, since it is larger than the sum of its proper divisors (238338423).

414405513 is a wasteful number, since it uses less digits than its factorization.

414405513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 414405513 is about 20356.9524487336. The cubic root of 414405513 is about 745.5472537174.

Adding to 414405513 its reverse (315504414), we get a palindrome (729909927).

The spelling of 414405513 in words is "four hundred fourteen million, four hundred five thousand, five hundred thirteen".