248793600 has 480 divisors, whose sum is σ = 974223360. Its totient is φ = 55296000.

The previous prime is 248793577. The next prime is 248793613. The reversal of 248793600 is 6397842.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8025585 + ... + 8025615.

It is an arithmetic number, because the mean of its divisors is an integer number (2029632).

Almost surely, 2^248793600 is an apocalyptic number.

248793600 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 248793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487111680).

248793600 is an abundant number, since it is smaller than the sum of its proper divisors (725429760).

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

248793600 is a wasteful number, since it uses less digits than its factorization.

248793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 248793600 is about 15773.1924479479. The cubic root of 248793600 is about 628.9455781136.

The spelling of 248793600 in words is "two hundred forty-eight million, seven hundred ninety-three thousand, six hundred".