248391000 has 384 divisors, whose sum is σ = 991448640. Its totient is φ = 55296000.

The previous prime is 248390993. The next prime is 248391049. The reversal of 248391000 is 193842.

248391000 = T₁₄₃ + T₁₄₄ + ... + T₁₁₄₂.

248391000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1286904 + ... + 1287096.

Almost surely, 2^248391000 is an apocalyptic number.

248391000 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 248391000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495724320).

248391000 is an abundant number, since it is smaller than the sum of its proper divisors (743057640).

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

248391000 is a wasteful number, since it uses less digits than its factorization.

248391000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 248391000 is about 15760.4251211698. The cubic root of 248391000 is about 628.6061398580.

The spelling of 248391000 in words is "two hundred forty-eight million, three hundred ninety-one thousand".