248095008 has 384 divisors, whose sum is σ = 928972800. Its totient is φ = 62705664.

The previous prime is 248094947. The next prime is 248095021. The reversal of 248095008 is 800590842.

It is a super-2 number, since 2×248095008² = 123102265989040128, which contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 1953441 + ... + 1953567.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2^248095008 is an apocalyptic number.

248095008 is a gapful number since it is divisible by the number (28) 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 248095008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464486400).

248095008 is an abundant number, since it is smaller than the sum of its proper divisors (680877792).

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

248095008 is a wasteful number, since it uses less digits than its factorization.

248095008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 248095008 is about 15751.0319661919. The cubic root of 248095008 is about 628.3563504214.

The spelling of 248095008 in words is "two hundred forty-eight million, ninety-five thousand, eight".