414401359 has 2 divisors, whose sum is σ = 414401360. Its totient is φ = 414401358.

The previous prime is 414401297. The next prime is 414401399. The reversal of 414401359 is 953104414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414401359 - 2¹⁹ = 413877071 is a prime.

It is a super-3 number, since 3×414401359³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414401359.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414401399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207200679 + 207200680.

It is an arithmetic number, because the mean of its divisors is an integer number (207200680).

Almost surely, 2^414401359 is an apocalyptic number.

414401359 is a deficient number, since it is larger than the sum of its proper divisors (1).

414401359 is an equidigital number, since it uses as much as digits as its factorization.

414401359 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 414401359 is about 20356.8504194534. The cubic root of 414401359 is about 745.5447625877.

The spelling of 414401359 in words is "four hundred fourteen million, four hundred one thousand, three hundred fifty-nine".