248540544 has 384 divisors, whose sum is σ = 906984000. Its totient is φ = 65028096.

The previous prime is 248540543. The next prime is 248540569. The reversal of 248540544 is 445045842.

248540544 is a `hidden beast` number, since 248 + 5 + 405 + 4 + 4 = 666.

248540544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 248540499 and 248540508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248540543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6717294 + ... + 6717330.

Almost surely, 2^248540544 is an apocalyptic number.

248540544 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 248540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453492000).

248540544 is an abundant number, since it is smaller than the sum of its proper divisors (658443456).

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

248540544 is a wasteful number, since it uses less digits than its factorization.

248540544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

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

The square root of 248540544 is about 15765.1686955770. The cubic root of 248540544 is about 628.7322654930.

The spelling of 248540544 in words is "two hundred forty-eight million, five hundred forty thousand, five hundred forty-four".