248920320 has 288 divisors, whose sum is σ = 890072064. Its totient is φ = 58777600.

The previous prime is 248920313. The next prime is 248920339. The reversal of 248920320 is 23029842.

It is a super-2 number, since 2×248920320² = 123922651417804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998999 + ... + 2999081.

It is an arithmetic number, because the mean of its divisors is an integer number (3090528).

Almost surely, 2^248920320 is an apocalyptic number.

248920320 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 248920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445036032).

248920320 is an abundant number, since it is smaller than the sum of its proper divisors (641151744).

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

248920320 is a wasteful number, since it uses less digits than its factorization.

248920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 248920320 is about 15777.2088786325. The cubic root of 248920320 is about 629.0523419212.

The spelling of 248920320 in words is "two hundred forty-eight million, nine hundred twenty thousand, three hundred twenty".