248594560 has 64 divisors (see below), whose sum is σ = 598193280. Its totient is φ = 98786304.

The previous prime is 248594551. The next prime is 248594561. The reversal of 248594560 is 65495842.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (248594561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103129 + ... + 105511.

It is an arithmetic number, because the mean of its divisors is an integer number (9346770).

Almost surely, 2^248594560 is an apocalyptic number.

248594560 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 248594560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299096640).

248594560 is an abundant number, since it is smaller than the sum of its proper divisors (349598720).

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

248594560 is a wasteful number, since it uses less digits than its factorization.

248594560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 248594560 is about 15766.8817462427. The cubic root of 248594560 is about 628.7778102312. Note that the first 3 decimals are identical.

The spelling of 248594560 in words is "two hundred forty-eight million, five hundred ninety-four thousand, five hundred sixty".