248553600 has 192 divisors, whose sum is σ = 867399840. Its totient is φ = 62341120.

The previous prime is 248553563. The next prime is 248553601. The reversal of 248553600 is 6355842.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (248553601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162439 + ... + 163961.

Almost surely, 2^248553600 is an apocalyptic number.

248553600 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 248553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433699920).

248553600 is an abundant number, since it is smaller than the sum of its proper divisors (618846240).

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

248553600 is a wasteful number, since it uses less digits than its factorization.

248553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 248553600 is about 15765.5827675351. The cubic root of 248553600 is about 628.7432745415.

The spelling of 248553600 in words is "two hundred forty-eight million, five hundred fifty-three thousand, six hundred".