248957000 has 64 divisors (see below), whose sum is σ = 613267200. Its totient is φ = 94334400.

The previous prime is 248956997. The next prime is 248957003. The reversal of 248957000 is 759842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (248956997) and next prime (248957003).

It is not an unprimeable number, because it can be changed into a prime (248957003) 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 15 ways as a sum of consecutive naturals, for example, 12449 + ... + 25551.

It is an arithmetic number, because the mean of its divisors is an integer number (9582300).

Almost surely, 2^248957000 is an apocalyptic number.

248957000 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 248957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306633600).

248957000 is an abundant number, since it is smaller than the sum of its proper divisors (364310200).

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

248957000 is a wasteful number, since it uses less digits than its factorization.

248957000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13143 (or 13129 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 248957000 is about 15778.3712720927. The cubic root of 248957000 is about 629.0832386979.

The spelling of 248957000 in words is "two hundred forty-eight million, nine hundred fifty-seven thousand".