248433360 has 320 divisors, whose sum is σ = 953272320. Its totient is φ = 52254720.

The previous prime is 248433347. The next prime is 248433371. The reversal of 248433360 is 63334842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1372470 + ... + 1372650.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^248433360 is an apocalyptic number.

248433360 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 248433360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476636160).

248433360 is an abundant number, since it is smaller than the sum of its proper divisors (704838960).

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

248433360 is a wasteful number, since it uses less digits than its factorization.

248433360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 248433360 is about 15761.7689362584. The cubic root of 248433360 is about 628.6418714835.

It can be divided in two parts, 24843 and 3360, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 248433360 in words is "two hundred forty-eight million, four hundred thirty-three thousand, three hundred sixty".