248030640 has 480 divisors, whose sum is σ = 1025142720. Its totient is φ = 54743040.

The previous prime is 248030633. The next prime is 248030687. The reversal of 248030640 is 46030842.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3397644 + ... + 3397716.

It is an arithmetic number, because the mean of its divisors is an integer number (2135714).

Almost surely, 2^248030640 is an apocalyptic number.

248030640 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 248030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512571360).

248030640 is an abundant number, since it is smaller than the sum of its proper divisors (777112080).

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

248030640 is a wasteful number, since it uses less digits than its factorization.

248030640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 248030640 is about 15748.9885389507. The cubic root of 248030640 is about 628.3020035803.

The spelling of 248030640 in words is "two hundred forty-eight million, thirty thousand, six hundred forty".