248557120 has 112 divisors (see below), whose sum is σ = 694944000. Its totient is φ = 82888704.

The previous prime is 248557097. The next prime is 248557123. The reversal of 248557120 is 21755842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (248557123) 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, 81381 + ... + 84379.

Almost surely, 2^248557120 is an apocalyptic number.

248557120 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 248557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347472000).

248557120 is an abundant number, since it is smaller than the sum of its proper divisors (446386880).

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

248557120 is a wasteful number, since it uses less digits than its factorization.

248557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 248557120 is about 15765.6944027214. The cubic root of 248557120 is about 628.7462426013.

The spelling of 248557120 in words is "two hundred forty-eight million, five hundred fifty-seven thousand, one hundred twenty".