248401936 has 20 divisors (see below), whose sum is σ = 497875500. Its totient is φ = 119917952.

The previous prime is 248401919. The next prime is 248401963. The reversal of 248401936 is 639104842.

248401936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 132710400 + 115691536 = 11520^2 + 10756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 248401895 and 248401904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267211 + ... + 268138.

It is an arithmetic number, because the mean of its divisors is an integer number (24893775).

Almost surely, 2^248401936 is an apocalyptic number.

It is an amenable number.

248401936 is an abundant number, since it is smaller than the sum of its proper divisors (249473564).

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

248401936 is a wasteful number, since it uses less digits than its factorization.

248401936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535386 (or 535380 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 248401936 is about 15760.7720623071. The cubic root of 248401936 is about 628.6153650123.

The spelling of 248401936 in words is "two hundred forty-eight million, four hundred one thousand, nine hundred thirty-six".