416940009 has 16 divisors (see below), whose sum is σ = 587969280. Its totient is φ = 262074960.

The previous prime is 416940001. The next prime is 416940031. The reversal of 416940009 is 900049614.

It is not a de Polignac number, because 416940009 - 2³ = 416940001 is a prime.

It is a super-2 number, since 2×416940009² = 347677942209840162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416940001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5307 + ... + 29360.

It is an arithmetic number, because the mean of its divisors is an integer number (36748080).

Almost surely, 2^416940009 is an apocalyptic number.

It is an amenable number.

416940009 is a deficient number, since it is larger than the sum of its proper divisors (171029271).

416940009 is a wasteful number, since it uses less digits than its factorization.

416940009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34900.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 416940009 is about 20419.1089178740. The cubic root of 416940009 is about 747.0640830744.

The spelling of 416940009 in words is "four hundred sixteen million, nine hundred forty thousand, nine".