414076321 has 2 divisors, whose sum is σ = 414076322. Its totient is φ = 414076320.

The previous prime is 414076309. The next prime is 414076339. The reversal of 414076321 is 123670414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 387656721 + 26419600 = 19689^2 + 5140^2 .

It is a cyclic number.

It is not a de Polignac number, because 414076321 - 2¹³ = 414068129 is a prime.

It is a super-2 number, since 2×414076321² = 342918399225790082, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414076321.

It is not a weakly prime, because it can be changed into another prime (414076301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207038160 + 207038161.

It is an arithmetic number, because the mean of its divisors is an integer number (207038161).

Almost surely, 2^414076321 is an apocalyptic number.

It is an amenable number.

414076321 is a deficient number, since it is larger than the sum of its proper divisors (1).

414076321 is an equidigital number, since it uses as much as digits as its factorization.

414076321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 414076321 is about 20348.8653492031. The cubic root of 414076321 is about 745.3497875483.

The spelling of 414076321 in words is "four hundred fourteen million, seventy-six thousand, three hundred twenty-one".