281460480 has 288 divisors, whose sum is σ = 1058824704. Its totient is φ = 62373888.

The previous prime is 281460469. The next prime is 281460481. The reversal of 281460480 is 84064182.

281460480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281460481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994419 + ... + 994701.

Almost surely, 2^281460480 is an apocalyptic number.

281460480 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 281460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529412352).

281460480 is an abundant number, since it is smaller than the sum of its proper divisors (777364224).

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

281460480 is a wasteful number, since it uses less digits than its factorization.

281460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 281460480 is about 16776.7839587926. The cubic root of 281460480 is about 655.3487488786.

The spelling of 281460480 in words is "two hundred eighty-one million, four hundred sixty thousand, four hundred eighty".