414351431 has 16 divisors (see below), whose sum is σ = 455781984. Its totient is φ = 374367744.

The previous prime is 414351407. The next prime is 414351437. The reversal of 414351431 is 134153414.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414351431 is a prime.

It is a super-2 number, since 2×414351431² = 343374216743495522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414351431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414351437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128420 + ... + 131606.

It is an arithmetic number, because the mean of its divisors is an integer number (28486374).

Almost surely, 2^414351431 is an apocalyptic number.

414351431 is a deficient number, since it is larger than the sum of its proper divisors (41430553).

414351431 is a wasteful number, since it uses less digits than its factorization.

414351431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410.

The product of its digits is 2880, while the sum is 26.

The square root of 414351431 is about 20355.6240631428. The cubic root of 414351431 is about 745.5148197532.

The spelling of 414351431 in words is "four hundred fourteen million, three hundred fifty-one thousand, four hundred thirty-one".