248449057920 has 640 divisors, whose sum is σ = 1038801456000. Its totient is φ = 55399956480.

The previous prime is 248449057907. The next prime is 248449057921. The reversal of 248449057920 is 29750944842.

It is a happy number.

248449057920 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 49 + 0 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (248449057921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14869731 + ... + 14886429.

It is an arithmetic number, because the mean of its divisors is an integer number (1623127275).

Almost surely, 2^248449057920 is an apocalyptic number.

248449057920 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 248449057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519400728000).

248449057920 is an abundant number, since it is smaller than the sum of its proper divisors (790352398080).

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

248449057920 is a wasteful number, since it uses less digits than its factorization.

248449057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16778 (or 16757 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 248449057920 in words is "two hundred forty-eight billion, four hundred forty-nine million, fifty-seven thousand, nine hundred twenty".