248551800 has 384 divisors, whose sum is σ = 959938560. Its totient is φ = 51955200.

The previous prime is 248551763. The next prime is 248551811. The reversal of 248551800 is 8155842.

248551800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2994559 + ... + 2994641.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^248551800 is an apocalyptic number.

248551800 is a gapful number since it is divisible by the number (20) 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 248551800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

248551800 is an abundant number, since it is smaller than the sum of its proper divisors (711386760).

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

248551800 is a wasteful number, since it uses less digits than its factorization.

248551800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 248551800 is about 15765.5256810549. The cubic root of 248551800 is about 628.7417567728.

It can be divided in two parts, 2485 and 51800, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 248551800 in words is "two hundred forty-eight million, five hundred fifty-one thousand, eight hundred".