248768500 has 24 divisors (see below), whose sum is σ = 543311496. Its totient is φ = 99507200.

The previous prime is 248768477. The next prime is 248768543. The reversal of 248768500 is 5867842.

It can be written as a sum of positive squares in 4 ways, for example, as 59320804 + 189447696 = 7702^2 + 13764^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248269 + ... + 249268.

It is an arithmetic number, because the mean of its divisors is an integer number (22637979).

Almost surely, 2^248768500 is an apocalyptic number.

248768500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248768500 is an abundant number, since it is smaller than the sum of its proper divisors (294542996).

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

248768500 is a wasteful number, since it uses less digits than its factorization.

248768500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497556 (or 497544 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 248768500 is about 15772.3967741114. The cubic root of 248768500 is about 628.9244266251.

The spelling of 248768500 in words is "two hundred forty-eight million, seven hundred sixty-eight thousand, five hundred".