414009313 has 8 divisors (see below), whose sum is σ = 445793760. Its totient is φ = 383050560.

The previous prime is 414009311. The next prime is 414009319. The reversal of 414009313 is 313900414.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414009313 - 2¹ = 414009311 is a prime.

It is a super-2 number, since 2×414009313² = 342807422501463938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414009311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205383 + ... + 207388.

It is an arithmetic number, because the mean of its divisors is an integer number (55724220).

Almost surely, 2^414009313 is an apocalyptic number.

It is an amenable number.

414009313 is a deficient number, since it is larger than the sum of its proper divisors (31784447).

414009313 is a wasteful number, since it uses less digits than its factorization.

414009313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412847.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 414009313 is about 20347.2188025784. The cubic root of 414009313 is about 745.3095799099.

Adding to 414009313 its reverse (313900414), we get a palindrome (727909727).

The spelling of 414009313 in words is "four hundred fourteen million, nine thousand, three hundred thirteen".