248034560 has 72 divisors (see below), whose sum is σ = 600003936. Its totient is φ = 98232320.

The previous prime is 248034551. The next prime is 248034571. The reversal of 248034560 is 65430842.

It is a super-2 number, since 2×248034560² = 123042285908787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136055 + ... + 137865.

It is an arithmetic number, because the mean of its divisors is an integer number (8333388).

Almost surely, 2^248034560 is an apocalyptic number.

248034560 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 248034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300001968).

248034560 is an abundant number, since it is smaller than the sum of its proper divisors (351969376).

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

248034560 is a wasteful number, since it uses less digits than its factorization.

248034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 248034560 is about 15749.1129908957. The cubic root of 248034560 is about 628.3053135623.

The spelling of 248034560 in words is "two hundred forty-eight million, thirty-four thousand, five hundred sixty".