248123904 has 160 divisors (see below), whose sum is σ = 773093376. Its totient is φ = 69242880.

The previous prime is 248123903. The next prime is 248123917. The reversal of 248123904 is 409321842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248123903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505099 + ... + 505589.

Almost surely, 2^248123904 is an apocalyptic number.

248123904 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 248123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386546688).

248123904 is an abundant number, since it is smaller than the sum of its proper divisors (524969472).

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

248123904 is an equidigital number, since it uses as much as digits as its factorization.

248123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 248123904 is about 15751.9492127165. The cubic root of 248123904 is about 628.3807446785.

The spelling of 248123904 in words is "two hundred forty-eight million, one hundred twenty-three thousand, nine hundred four".