248396304 has 80 divisors (see below), whose sum is σ = 713398784. Its totient is φ = 73958400.

The previous prime is 248396293. The next prime is 248396311. The reversal of 248396304 is 403693842.

248396304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 12924 + ... + 25764.

Almost surely, 2^248396304 is an apocalyptic number.

248396304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248396304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356699392).

248396304 is an abundant number, since it is smaller than the sum of its proper divisors (465002480).

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

248396304 is a wasteful number, since it uses less digits than its factorization.

248396304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12896 (or 12890 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 248396304 is about 15760.5933898442. The cubic root of 248396304 is about 628.6106141254.

The spelling of 248396304 in words is "two hundred forty-eight million, three hundred ninety-six thousand, three hundred four".