248424800 has 72 divisors (see below), whose sum is σ = 653145696. Its totient is φ = 91722240.

The previous prime is 248424797. The next prime is 248424821. The reversal of 248424800 is 8424842.

248424800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1544 + ... + 22343.

It is an arithmetic number, because the mean of its divisors is an integer number (9071468).

Almost surely, 2^248424800 is an apocalyptic number.

248424800 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 248424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326572848).

248424800 is an abundant number, since it is smaller than the sum of its proper divisors (404720896).

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

248424800 is a wasteful number, since it uses less digits than its factorization.

248424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23920 (or 23907 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 248424800 is about 15761.4973907938. The cubic root of 248424800 is about 628.6346512559.

The spelling of 248424800 in words is "two hundred forty-eight million, four hundred twenty-four thousand, eight hundred".