459808401 has 16 divisors (see below), whose sum is σ = 699076224. Its totient is φ = 266313984.

The previous prime is 459808397. The next prime is 459808403. The reversal of 459808401 is 104808954.

It is not a de Polignac number, because 459808401 - 2² = 459808397 is a prime.

It is a super-2 number, since 2×459808401² = 422847531260353602, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 459808401.

It is not an unprimeable number, because it can be changed into a prime (459808403) 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, 346101 + ... + 347426.

It is an arithmetic number, because the mean of its divisors is an integer number (43692264).

Almost surely, 2^459808401 is an apocalyptic number.

It is an amenable number.

459808401 is a deficient number, since it is larger than the sum of its proper divisors (239267823).

459808401 is a wasteful number, since it uses less digits than its factorization.

459808401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693560.

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 459808401 is about 21443.1434495971. The cubic root of 459808401 is about 771.8370714227.

The spelling of 459808401 in words is "four hundred fifty-nine million, eight hundred eight thousand, four hundred one".