281478000 has 160 divisors (see below), whose sum is σ = 929440512. Its totient is φ = 73248000.

The previous prime is 281477947. The next prime is 281478019. The reversal of 281478000 is 874182.

281478000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257455 + ... + 258545.

Almost surely, 2^281478000 is an apocalyptic number.

281478000 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 281478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464720256).

281478000 is an abundant number, since it is smaller than the sum of its proper divisors (647962512).

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

281478000 is a wasteful number, since it uses less digits than its factorization.

281478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 281478000 is about 16777.3061008018. The cubic root of 281478000 is about 655.3623463729.

The spelling of 281478000 in words is "two hundred eighty-one million, four hundred seventy-eight thousand".