281940000 has 240 divisors, whose sum is σ = 957293568. Its totient is φ = 72576000.

The previous prime is 281939969. The next prime is 281940011. The reversal of 281940000 is 49182.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2219937 + ... + 2220063.

Almost surely, 2^281940000 is an apocalyptic number.

281940000 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 281940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478646784).

281940000 is an abundant number, since it is smaller than the sum of its proper divisors (675353568).

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

281940000 is a wasteful number, since it uses less digits than its factorization.

281940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 281940000 is about 16791.0690547088. The cubic root of 281940000 is about 655.7207070047.

Adding to 281940000 its reverse (49182), we get a palindrome (281989182).

The spelling of 281940000 in words is "two hundred eighty-one million, nine hundred forty thousand".