248887800 has 144 divisors (see below), whose sum is σ = 955303440. Its totient is φ = 56885760.

The previous prime is 248887777. The next prime is 248887801. The reversal of 248887800 is 8788842.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248887801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2724 + ... + 22476.

Almost surely, 2^248887800 is an apocalyptic number.

248887800 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 248887800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477651720).

248887800 is an abundant number, since it is smaller than the sum of its proper divisors (706415640).

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

248887800 is a wasteful number, since it uses less digits than its factorization.

248887800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19782 (or 19770 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 248887800 is about 15776.1782444292. The cubic root of 248887800 is about 629.0249467115.

The spelling of 248887800 in words is "two hundred forty-eight million, eight hundred eighty-seven thousand, eight hundred".