281363040 has 288 divisors, whose sum is σ = 1112057856. Its totient is φ = 63452160.

The previous prime is 281363029. The next prime is 281363041. The reversal of 281363040 is 40363182.

It is a happy number.

281363040 is a `hidden beast` number, since 28 + 1 + 3 + 630 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 281362995 and 281363013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281363041) 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, 1038105 + ... + 1038375.

It is an arithmetic number, because the mean of its divisors is an integer number (3861312).

Almost surely, 2^281363040 is an apocalyptic number.

281363040 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 281363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556028928).

281363040 is an abundant number, since it is smaller than the sum of its proper divisors (830694816).

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

281363040 is a wasteful number, since it uses less digits than its factorization.

281363040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 281363040 is about 16773.8796943343. The cubic root of 281363040 is about 655.2731141601.

The spelling of 281363040 in words is "two hundred eighty-one million, three hundred sixty-three thousand, forty".