248996160 has 448 divisors, whose sum is σ = 1053388800. Its totient is φ = 54134784.

The previous prime is 248996147. The next prime is 248996203. The reversal of 248996160 is 61699842.

It is a happy number.

248996160 is a `hidden beast` number, since 2 + 489 + 9 + 6 + 160 = 666.

248996160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390951 + ... + 1391129.

Almost surely, 2^248996160 is an apocalyptic number.

248996160 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 248996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526694400).

248996160 is an abundant number, since it is smaller than the sum of its proper divisors (804392640).

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

248996160 is a wasteful number, since it uses less digits than its factorization.

248996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 248996160 is about 15779.6121625343. The cubic root of 248996160 is about 629.1162211113.

The spelling of 248996160 in words is "two hundred forty-eight million, nine hundred ninety-six thousand, one hundred sixty".