245857248 has 384 divisors, whose sum is σ = 914457600. Its totient is φ = 62539776.

The previous prime is 245857231. The next prime is 245857253. The reversal of 245857248 is 842758542.

245857248 is a `hidden beast` number, since 24 + 58 + 572 + 4 + 8 = 666.

245857248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4167043 + ... + 4167101.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^245857248 is an apocalyptic number.

245857248 is a gapful number since it is divisible by the number (28) 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 245857248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

245857248 is an abundant number, since it is smaller than the sum of its proper divisors (668600352).

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

245857248 is a wasteful number, since it uses less digits than its factorization.

245857248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 245857248 is about 15679.8357134251. The cubic root of 245857248 is about 626.4614317109.

The spelling of 245857248 in words is "two hundred forty-five million, eight hundred fifty-seven thousand, two hundred forty-eight".