281948800 has 192 divisors, whose sum is σ = 818072640. Its totient is φ = 94003200.

The previous prime is 281948773. The next prime is 281948803. The reversal of 281948800 is 8849182.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (281948803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918247 + ... + 918553.

It is an arithmetic number, because the mean of its divisors is an integer number (4260795).

Almost surely, 2^281948800 is an apocalyptic number.

281948800 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 281948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409036320).

281948800 is an abundant number, since it is smaller than the sum of its proper divisors (536123840).

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

281948800 is a wasteful number, since it uses less digits than its factorization.

281948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 281948800 is about 16791.3310967296. The cubic root of 281948800 is about 655.7275291208.

The spelling of 281948800 in words is "two hundred eighty-one million, nine hundred forty-eight thousand, eight hundred".