281406720 has 432 divisors, whose sum is σ = 1121420160. Its totient is φ = 58834944.

The previous prime is 281406707. The next prime is 281406721. The reversal of 281406720 is 27604182.

It is a super-3 number, since 3×281406720³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281406721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9703666 + ... + 9703694.

It is an arithmetic number, because the mean of its divisors is an integer number (2595880).

Almost surely, 2^281406720 is an apocalyptic number.

281406720 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 281406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560710080).

281406720 is an abundant number, since it is smaller than the sum of its proper divisors (840013440).

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

281406720 is a wasteful number, since it uses less digits than its factorization.

281406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 281406720 is about 16775.1816681668. The cubic root of 281406720 is about 655.3070215378.

The spelling of 281406720 in words is "two hundred eighty-one million, four hundred six thousand, seven hundred twenty".