416800107 has 12 divisors (see below), whose sum is σ = 617638840. Its totient is φ = 277796016.

The previous prime is 416800073. The next prime is 416800117. The reversal of 416800107 is 701008614.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 416800107 - 2¹⁰ = 416799083 is a prime.

It is a super-2 number, since 2×416800107² = 347444658390422898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416800117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104119 + ... + 108047.

Almost surely, 2^416800107 is an apocalyptic number.

416800107 is a deficient number, since it is larger than the sum of its proper divisors (200838733).

416800107 is an frugal number, since it uses more digits than its factorization.

416800107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 416800107 is about 20415.6828688144. The cubic root of 416800107 is about 746.9805159351.

Multiplying 416800107 by its sum of digits (27), we get a square (11253602889 = 106083²).

416800107 divided by its sum of digits (27) gives a square (15437041 = 3929²).

The spelling of 416800107 in words is "four hundred sixteen million, eight hundred thousand, one hundred seven".