414072331 has 8 divisors (see below), whose sum is σ = 421606944. Its totient is φ = 406561920.

The previous prime is 414072319. The next prime is 414072343. The reversal of 414072331 is 133270414.

It is an interprime number because it is at equal distance from previous prime (414072319) and next prime (414072343).

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 414072331 - 2¹³ = 414064139 is a prime.

It is a super-2 number, since 2×414072331² = 342911790599547122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414072296 and 414072305.

It is not an unprimeable number, because it can be changed into a prime (414072311) 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, 30450 + ... + 41896.

It is an arithmetic number, because the mean of its divisors is an integer number (52700868).

Almost surely, 2^414072331 is an apocalyptic number.

414072331 is a deficient number, since it is larger than the sum of its proper divisors (7534613).

414072331 is a wasteful number, since it uses less digits than its factorization.

414072331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12101.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 414072331 is about 20348.7673091025. The cubic root of 414072331 is about 745.3473935007.

The spelling of 414072331 in words is "four hundred fourteen million, seventy-two thousand, three hundred thirty-one".