416214401 has 8 divisors (see below), whose sum is σ = 429905664. Its totient is φ = 402539760.

The previous prime is 416214377. The next prime is 416214413. The reversal of 416214401 is 104412614.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 416214401 - 2²² = 412020097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416214431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65570 + ... + 71636.

It is an arithmetic number, because the mean of its divisors is an integer number (53738208).

Almost surely, 2^416214401 is an apocalyptic number.

It is an amenable number.

416214401 is a deficient number, since it is larger than the sum of its proper divisors (13691263).

416214401 is a wasteful number, since it uses less digits than its factorization.

416214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 416214401 is about 20401.3333142714. Note that the first 4 decimals coincide. The cubic root of 416214401 is about 746.6304551910.

The spelling of 416214401 in words is "four hundred sixteen million, two hundred fourteen thousand, four hundred one".