248991120 has 240 divisors, whose sum is σ = 965652480. Its totient is φ = 56318976.

The previous prime is 248991097. The next prime is 248991121. The reversal of 248991120 is 21199842.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248991121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639886 + ... + 640274.

It is an arithmetic number, because the mean of its divisors is an integer number (4023552).

Almost surely, 2^248991120 is an apocalyptic number.

248991120 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 248991120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482826240).

248991120 is an abundant number, since it is smaller than the sum of its proper divisors (716661360).

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

248991120 is a wasteful number, since it uses less digits than its factorization.

248991120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 248991120 is about 15779.4524619836. The cubic root of 248991120 is about 629.1119763776. Note that the first 3 decimals are identical.

The spelling of 248991120 in words is "two hundred forty-eight million, nine hundred ninety-one thousand, one hundred twenty".