248893920 has 288 divisors, whose sum is σ = 976510080. Its totient is φ = 57093120.

The previous prime is 248893907. The next prime is 248893927. The reversal of 248893920 is 29398842.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248893927) 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, 300547 + ... + 301373.

It is an arithmetic number, because the mean of its divisors is an integer number (3390660).

Almost surely, 2^248893920 is an apocalyptic number.

248893920 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 248893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488255040).

248893920 is an abundant number, since it is smaller than the sum of its proper divisors (727616160).

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

248893920 is a wasteful number, since it uses less digits than its factorization.

248893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 248893920 is about 15776.3722065626. The cubic root of 248893920 is about 629.0301024498.

The spelling of 248893920 in words is "two hundred forty-eight million, eight hundred ninety-three thousand, nine hundred twenty".