459993105 has 48 divisors (see below), whose sum is σ = 936726336. Its totient is φ = 205868160.

The previous prime is 459993101. The next prime is 459993119. The reversal of 459993105 is 501399954.

It is a happy number.

459993105 is a `hidden beast` number, since 459 + 9 + 93 + 105 = 666.

It is not a de Polignac number, because 459993105 - 2² = 459993101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (459993101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29307 + ... + 42176.

It is an arithmetic number, because the mean of its divisors is an integer number (19515132).

Almost surely, 2^459993105 is an apocalyptic number.

459993105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

459993105 is an abundant number, since it is smaller than the sum of its proper divisors (476733231).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

459993105 is a wasteful number, since it uses less digits than its factorization.

459993105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71518 (or 71515 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 459993105 is about 21447.4498484086. The cubic root of 459993105 is about 771.9404059925.

The spelling of 459993105 in words is "four hundred fifty-nine million, nine hundred ninety-three thousand, one hundred five".