248796800 has 192 divisors, whose sum is σ = 728524800. Its totient is φ = 82145280.

The previous prime is 248796797. The next prime is 248796827. The reversal of 248796800 is 8697842.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649409 + ... + 649791.

It is an arithmetic number, because the mean of its divisors is an integer number (3794400).

Almost surely, 2^248796800 is an apocalyptic number.

248796800 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 248796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364262400).

248796800 is an abundant number, since it is smaller than the sum of its proper divisors (479728000).

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

248796800 is a wasteful number, since it uses less digits than its factorization.

248796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 248796800 is about 15773.2938855523. The cubic root of 248796800 is about 628.9482746155.

The spelling of 248796800 in words is "two hundred forty-eight million, seven hundred ninety-six thousand, eight hundred".