248101920 has 384 divisors, whose sum is σ = 992839680. Its totient is φ = 57277440.

The previous prime is 248101913. The next prime is 248101921. The reversal of 248101920 is 29101842.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (248101921) by changing a digit.

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, 1092847 + ... + 1093073.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^248101920 is an apocalyptic number.

248101920 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 248101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496419840).

248101920 is an abundant number, since it is smaller than the sum of its proper divisors (744737760).

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

248101920 is a wasteful number, since it uses less digits than its factorization.

248101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 248101920 is about 15751.2513788588. The cubic root of 248101920 is about 628.3621857649.

The spelling of 248101920 in words is "two hundred forty-eight million, one hundred one thousand, nine hundred twenty".