248484000 has 96 divisors (see below), whose sum is σ = 814072896. Its totient is φ = 66259200.

The previous prime is 248483969. The next prime is 248484011. The reversal of 248484000 is 484842.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 1647 + ... + 22353.

It is an arithmetic number, because the mean of its divisors is an integer number (8479926).

Almost surely, 2^248484000 is an apocalyptic number.

248484000 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 248484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407036448).

248484000 is an abundant number, since it is smaller than the sum of its proper divisors (565588896).

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

248484000 is a wasteful number, since it uses less digits than its factorization.

248484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20735 (or 20717 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 248484000 is about 15763.3752730816. The cubic root of 248484000 is about 628.6845821479.

The spelling of 248484000 in words is "two hundred forty-eight million, four hundred eighty-four thousand".