281484000 has 288 divisors, whose sum is σ = 1142721216. Its totient is φ = 64281600.

The previous prime is 281483989. The next prime is 281484001. The reversal of 281484000 is 484182.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281484001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251442 + ... + 252558.

It is an arithmetic number, because the mean of its divisors is an integer number (3967782).

Almost surely, 2^281484000 is an apocalyptic number.

281484000 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 281484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571360608).

281484000 is an abundant number, since it is smaller than the sum of its proper divisors (861237216).

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

281484000 is a wasteful number, since it uses less digits than its factorization.

281484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 281484000 is about 16777.4849128229. The cubic root of 281484000 is about 655.3670029194.

The spelling of 281484000 in words is "two hundred eighty-one million, four hundred eighty-four thousand".