248084960 has 48 divisors (see below), whose sum is σ = 587076336. Its totient is φ = 99068928.

The previous prime is 248084953. The next prime is 248084983. The reversal of 248084960 is 69480842.

It is a super-2 number, since 2×248084960² = 123092294756403200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151667 + ... + 153293.

It is an arithmetic number, because the mean of its divisors is an integer number (12230757).

Almost surely, 2^248084960 is an apocalyptic number.

248084960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248084960 is an abundant number, since it is smaller than the sum of its proper divisors (338991376).

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

248084960 is a wasteful number, since it uses less digits than its factorization.

248084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 248084960 is about 15750.7129997343. The cubic root of 248084960 is about 628.3478673677.

The spelling of 248084960 in words is "two hundred forty-eight million, eighty-four thousand, nine hundred sixty".