416102401 has 16 divisors (see below), whose sum is σ = 495048960. Its totient is φ = 344747520.

The previous prime is 416102371. The next prime is 416102437. The reversal of 416102401 is 104201614.

It is not a de Polignac number, because 416102401 - 2¹³ = 416094209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416102471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7120 + ... + 29713.

It is an arithmetic number, because the mean of its divisors is an integer number (30940560).

Almost surely, 2^416102401 is an apocalyptic number.

It is an amenable number.

416102401 is a deficient number, since it is larger than the sum of its proper divisors (78946559).

416102401 is a wasteful number, since it uses less digits than its factorization.

416102401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36936.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 416102401 is about 20398.5882109522. The cubic root of 416102401 is about 746.5634784016.

The spelling of 416102401 in words is "four hundred sixteen million, one hundred two thousand, four hundred one".