248450544 has 80 divisors (see below), whose sum is σ = 716620800. Its totient is φ = 82413504.

The previous prime is 248450533. The next prime is 248450549. The reversal of 248450544 is 445054842.

248450544 is digitally balanced in base 3, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 248450499 and 248450508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248450549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95047 + ... + 97625.

It is an arithmetic number, because the mean of its divisors is an integer number (8957760).

Almost surely, 2^248450544 is an apocalyptic number.

248450544 is a gapful number since it is divisible by the number (24) 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 248450544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358310400).

248450544 is an abundant number, since it is smaller than the sum of its proper divisors (468170256).

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

248450544 is a wasteful number, since it uses less digits than its factorization.

248450544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 248450544 is about 15762.3140433123. The cubic root of 248450544 is about 628.6563654211.

The spelling of 248450544 in words is "two hundred forty-eight million, four hundred fifty thousand, five hundred forty-four".