248853600 has 288 divisors, whose sum is σ = 925253280. Its totient is φ = 64512000.

The previous prime is 248853593. The next prime is 248853617. The reversal of 248853600 is 6358842.

248853600 is a `hidden beast` number, since 2 + 48 + 8 + 5 + 3 + 600 = 666.

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

It is a super-2 number, since 2×248853600² = 123856228465920000, which contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 885460 + ... + 885740.

It is an arithmetic number, because the mean of its divisors is an integer number (3212685).

Almost surely, 2^248853600 is an apocalyptic number.

248853600 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 248853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462626640).

248853600 is an abundant number, since it is smaller than the sum of its proper divisors (676399680).

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

248853600 is a wasteful number, since it uses less digits than its factorization.

248853600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 248853600 is about 15775.0942944884. The cubic root of 248853600 is about 628.9961336766.

The spelling of 248853600 in words is "two hundred forty-eight million, eight hundred fifty-three thousand, six hundred".