416734401 has 32 divisors (see below), whose sum is σ = 594432000. Its totient is φ = 259129728.

The previous prime is 416734393. The next prime is 416734403. The reversal of 416734401 is 104437614.

It is not a de Polignac number, because 416734401 - 2³ = 416734393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416734403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484710 + ... + 485568.

It is an arithmetic number, because the mean of its divisors is an integer number (18576000).

Almost surely, 2^416734401 is an apocalyptic number.

It is an amenable number.

416734401 is a deficient number, since it is larger than the sum of its proper divisors (177697599).

416734401 is a wasteful number, since it uses less digits than its factorization.

416734401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 416734401 is about 20414.0736013173. The cubic root of 416734401 is about 746.9412615617.

The spelling of 416734401 in words is "four hundred sixteen million, seven hundred thirty-four thousand, four hundred one".