248840640 has 224 divisors, whose sum is σ = 890991360. Its totient is φ = 65369088.

The previous prime is 248840621. The next prime is 248840653. The reversal of 248840640 is 46048842.

248840640 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 248840595 and 248840604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716947 + ... + 717293.

It is an arithmetic number, because the mean of its divisors is an integer number (3977640).

Almost surely, 2^248840640 is an apocalyptic number.

248840640 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 248840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445495680).

248840640 is an abundant number, since it is smaller than the sum of its proper divisors (642150720).

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

248840640 is a wasteful number, since it uses less digits than its factorization.

248840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 248840640 is about 15774.6835150503. The cubic root of 248840640 is about 628.9852143631.

The spelling of 248840640 in words is "two hundred forty-eight million, eight hundred forty thousand, six hundred forty".