398719953 has 12 divisors (see below), whose sum is σ = 576334980. Its totient is φ = 265625856.

The previous prime is 398719939. The next prime is 398719961. The reversal of 398719953 is 359917893.

It can be written as a sum of positive squares in 2 ways, for example, as 263997504 + 134722449 = 16248^2 + 11607^2 .

It is not a de Polignac number, because 398719953 - 2⁶ = 398719889 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 398719953.

It is not an unprimeable number, because it can be changed into a prime (398719903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1476 + ... + 28277.

It is an arithmetic number, because the mean of its divisors is an integer number (48027915).

Almost surely, 2^398719953 is an apocalyptic number.

It is an amenable number.

398719953 is a deficient number, since it is larger than the sum of its proper divisors (177615027).

398719953 is a wasteful number, since it uses less digits than its factorization.

398719953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31248 (or 31245 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The square root of 398719953 is about 19967.9731820733. The cubic root of 398719953 is about 736.0195042730.

The spelling of 398719953 in words is "three hundred ninety-eight million, seven hundred nineteen thousand, nine hundred fifty-three".