248691400 has 48 divisors (see below), whose sum is σ = 582819840. Its totient is φ = 98683200.

The previous prime is 248691389. The next prime is 248691407. The reversal of 248691400 is 4196842.

It is not an unprimeable number, because it can be changed into a prime (248691407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20505 + ... + 30295.

It is an arithmetic number, because the mean of its divisors is an integer number (12142080).

Almost surely, 2^248691400 is an apocalyptic number.

248691400 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 248691400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291409920).

248691400 is an abundant number, since it is smaller than the sum of its proper divisors (334128440).

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

248691400 is a wasteful number, since it uses less digits than its factorization.

248691400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9934 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 248691400 is about 15769.9524412726. The cubic root of 248691400 is about 628.8594464211.

The spelling of 248691400 in words is "two hundred forty-eight million, six hundred ninety-one thousand, four hundred".