416013401 has 2 divisors, whose sum is σ = 416013402. Its totient is φ = 416013400.

The previous prime is 416013373. The next prime is 416013427. The reversal of 416013401 is 104310614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 392238025 + 23775376 = 19805^2 + 4876^2 .

It is a cyclic number.

It is not a de Polignac number, because 416013401 - 2⁶ = 416013337 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (416013431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208006700 + 208006701.

It is an arithmetic number, because the mean of its divisors is an integer number (208006701).

Almost surely, 2^416013401 is an apocalyptic number.

It is an amenable number.

416013401 is a deficient number, since it is larger than the sum of its proper divisors (1).

416013401 is an equidigital number, since it uses as much as digits as its factorization.

416013401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 416013401 is about 20396.4065707663. The cubic root of 416013401 is about 746.5102472040.

The spelling of 416013401 in words is "four hundred sixteen million, thirteen thousand, four hundred one".