281742720 has 128 divisors (see below), whose sum is σ = 1026397440. Its totient is φ = 64395264.

The previous prime is 281742719. The next prime is 281742757. The reversal of 281742720 is 27247182.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×281742720³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2959 + ... + 23921.

It is an arithmetic number, because the mean of its divisors is an integer number (8018730).

Almost surely, 2^281742720 is an apocalyptic number.

281742720 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 281742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513198720).

281742720 is an abundant number, since it is smaller than the sum of its proper divisors (744654720).

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

281742720 is a wasteful number, since it uses less digits than its factorization.

281742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20992 (or 20980 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 281742720 is about 16785.1934752031. The cubic root of 281742720 is about 655.5677302898.

The spelling of 281742720 in words is "two hundred eighty-one million, seven hundred forty-two thousand, seven hundred twenty".