398188945 has 48 divisors (see below), whose sum is σ = 615206016. Its totient is φ = 244608000.

The previous prime is 398188933. The next prime is 398188961. The reversal of 398188945 is 549881893.

It is not a de Polignac number, because 398188945 - 2⁵ = 398188913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian 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, 190305 + ... + 192385.

It is an arithmetic number, because the mean of its divisors is an integer number (12816792).

Almost surely, 2^398188945 is an apocalyptic number.

398188945 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

398188945 is a deficient number, since it is larger than the sum of its proper divisors (217017071).

398188945 is a wasteful number, since it uses less digits than its factorization.

398188945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2175 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 55.

The square root of 398188945 is about 19954.6722598994. The cubic root of 398188945 is about 735.6926199761.

The spelling of 398188945 in words is "three hundred ninety-eight million, one hundred eighty-eight thousand, nine hundred forty-five".