498114405 has 48 divisors (see below), whose sum is σ = 892051056. Its totient is φ = 256988160.

The previous prime is 498114391. The next prime is 498114493. The reversal of 498114405 is 504411894.

It can be written as a sum of positive squares in 8 ways, for example, as 5673924 + 492440481 = 2382^2 + 22191^2 .

It is not a de Polignac number, because 498114405 - 2¹⁰ = 498113381 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 498114405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172675 + ... + 175535.

It is an arithmetic number, because the mean of its divisors is an integer number (18584397).

Almost surely, 2^498114405 is an apocalyptic number.

498114405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

498114405 is a deficient number, since it is larger than the sum of its proper divisors (393936651).

498114405 is a wasteful number, since it uses less digits than its factorization.

498114405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 498114405 is about 22318.4767625391. The cubic root of 498114405 is about 792.7015373088.

The spelling of 498114405 in words is "four hundred ninety-eight million, one hundred fourteen thousand, four hundred five".