398496105 has 160 divisors (see below), whose sum is σ = 873987840. Its totient is φ = 169827840.

The previous prime is 398496073. The next prime is 398496121. The reversal of 398496105 is 501694893.

It is a happy number.

It is not a de Polignac number, because 398496105 - 2⁵ = 398496073 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3041890 + ... + 3042020.

It is an arithmetic number, because the mean of its divisors is an integer number (5462424).

Almost surely, 2^398496105 is an apocalyptic number.

398496105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

398496105 is an abundant number, since it is smaller than the sum of its proper divisors (475491735).

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

398496105 is a wasteful number, since it uses less digits than its factorization.

398496105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 398496105 is about 19962.3672193455. The cubic root of 398496105 is about 735.8817406332.

It can be divided in two parts, 39849 and 6105, that added together give a palindrome (45954).

The spelling of 398496105 in words is "three hundred ninety-eight million, four hundred ninety-six thousand, one hundred five".