248814804 has 192 divisors, whose sum is σ = 743178240. Its totient is φ = 63192960.

The previous prime is 248814793. The next prime is 248814817. The reversal of 248814804 is 408418842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2325319 + ... + 2325425.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 2^248814804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248814804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371589120).

248814804 is an abundant number, since it is smaller than the sum of its proper divisors (494363436).

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

248814804 is a wasteful number, since it uses less digits than its factorization.

248814804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 248814804 is about 15773.8645867143. The cubic root of 248814804 is about 628.9634453781.

The spelling of 248814804 in words is "two hundred forty-eight million, eight hundred fourteen thousand, eight hundred four".