248486400 has 240 divisors, whose sum is σ = 913334400. Its totient is φ = 66170880.

The previous prime is 248486387. The next prime is 248486417. The reversal of 248486400 is 4684842.

248486400 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345241 + ... + 345959.

It is an arithmetic number, because the mean of its divisors is an integer number (3805560).

Almost surely, 2^248486400 is an apocalyptic number.

248486400 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 248486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456667200).

248486400 is an abundant number, since it is smaller than the sum of its proper divisors (664848000).

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

248486400 is an equidigital number, since it uses as much as digits as its factorization.

248486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 248486400 is about 15763.4513987261. The cubic root of 248486400 is about 628.6866062060.

The spelling of 248486400 in words is "two hundred forty-eight million, four hundred eighty-six thousand, four hundred".