414461401 has 2 divisors, whose sum is σ = 414461402. Its totient is φ = 414461400.

The previous prime is 414461363. The next prime is 414461423. The reversal of 414461401 is 104164414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212139225 + 202322176 = 14565^2 + 14224^2 .

It is a cyclic number.

It is not a de Polignac number, because 414461401 - 2¹³ = 414453209 is a prime.

It is not a weakly prime, because it can be changed into another prime (414461441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207230700 + 207230701.

It is an arithmetic number, because the mean of its divisors is an integer number (207230701).

Almost surely, 2^414461401 is an apocalyptic number.

It is an amenable number.

414461401 is a deficient number, since it is larger than the sum of its proper divisors (1).

414461401 is an equidigital number, since it uses as much as digits as its factorization.

414461401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 414461401 is about 20358.3251030138. The cubic root of 414461401 is about 745.5807678082.

The spelling of 414461401 in words is "four hundred fourteen million, four hundred sixty-one thousand, four hundred one".