414432313 has 8 divisors (see below), whose sum is σ = 436445600. Its totient is φ = 392439168.

The previous prime is 414432287. The next prime is 414432379. The reversal of 414432313 is 313234414.

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 414432313 - 2¹⁷ = 414301241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414432383) 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, 56770 + ... + 63652.

It is an arithmetic number, because the mean of its divisors is an integer number (54555700).

Almost surely, 2^414432313 is an apocalyptic number.

It is an amenable number.

414432313 is a deficient number, since it is larger than the sum of its proper divisors (22013287).

414432313 is a wasteful number, since it uses less digits than its factorization.

414432313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10071.

The product of its digits is 3456, while the sum is 25.

The square root of 414432313 is about 20357.6106898624. The cubic root of 414432313 is about 745.5633251217.

Adding to 414432313 its reverse (313234414), we get a palindrome (727666727).

The spelling of 414432313 in words is "four hundred fourteen million, four hundred thirty-two thousand, three hundred thirteen".