416400106 has 4 divisors (see below), whose sum is σ = 624600162. Its totient is φ = 208200052.

The previous prime is 416400071. The next prime is 416400121. The reversal of 416400106 is 601004614.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in only one way, i.e., 400360081 + 16040025 = 20009^2 + 4005^2 .

It is a super-4 number, since 4×416400106⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104100025 + ... + 104100028.

Almost surely, 2^416400106 is an apocalyptic number.

416400106 is a deficient number, since it is larger than the sum of its proper divisors (208200056).

416400106 is a wasteful number, since it uses less digits than its factorization.

416400106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208200055.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 416400106 is about 20405.8841023858. The cubic root of 416400106 is about 746.7414816173.

The spelling of 416400106 in words is "four hundred sixteen million, four hundred thousand, one hundred six".