248557920 has 192 divisors, whose sum is σ = 858320064. Its totient is φ = 60088320.

The previous prime is 248557891. The next prime is 248557921. The reversal of 248557920 is 29755842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248557921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380314 + ... + 380966.

It is an arithmetic number, because the mean of its divisors is an integer number (4470417).

Almost surely, 2^248557920 is an apocalyptic number.

248557920 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 248557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429160032).

248557920 is an abundant number, since it is smaller than the sum of its proper divisors (609762144).

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

248557920 is a wasteful number, since it uses less digits than its factorization.

248557920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 248557920 is about 15765.7197742444. The cubic root of 248557920 is about 628.7469171565.

The spelling of 248557920 in words is "two hundred forty-eight million, five hundred fifty-seven thousand, nine hundred twenty".