398648960 has 32 divisors (see below), whose sum is σ = 953021700. Its totient is φ = 159459328.

The previous prime is 398648959. The next prime is 398648977. The reversal of 398648960 is 69846893.

It can be written as a sum of positive squares in 2 ways, for example, as 383219776 + 15429184 = 19576^2 + 3928^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 310805 + ... + 312084.

Almost surely, 2^398648960 is an apocalyptic number.

It is an amenable number.

398648960 is an abundant number, since it is smaller than the sum of its proper divisors (554372740).

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

398648960 is an equidigital number, since it uses as much as digits as its factorization.

398648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622908 (or 622896 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The square root of 398648960 is about 19966.1954312783. The cubic root of 398648960 is about 735.9758183611.

The spelling of 398648960 in words is "three hundred ninety-eight million, six hundred forty-eight thousand, nine hundred sixty".