248047800 has 576 divisors, whose sum is σ = 1068681600. Its totient is φ = 46771200.

The previous prime is 248047783. The next prime is 248047837. The reversal of 248047800 is 8740842.

248047800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248047800² = 123055422169680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4204171 + ... + 4204229.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2^248047800 is an apocalyptic number.

248047800 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 248047800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800).

248047800 is an abundant number, since it is smaller than the sum of its proper divisors (820633800).

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

248047800 is a wasteful number, since it uses less digits than its factorization.

248047800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 248047800 is about 15749.5333264195. The cubic root of 248047800 is about 628.3164929377.

The spelling of 248047800 in words is "two hundred forty-eight million, forty-seven thousand, eight hundred".