281406480 has 80 divisors (see below), whose sum is σ = 876652224. Its totient is φ = 74672640.

The previous prime is 281406479. The next prime is 281406509. The reversal of 281406480 is 84604182.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×281406480³ (a number of 26 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 47862 + ... + 53418.

Almost surely, 2^281406480 is an apocalyptic number.

281406480 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 281406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438326112).

281406480 is an abundant number, since it is smaller than the sum of its proper divisors (595245744).

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

281406480 is a wasteful number, since it uses less digits than its factorization.

281406480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784 (or 5778 counting only the distinct ones).

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

The square root of 281406480 is about 16775.1745147405. The cubic root of 281406480 is about 655.3068352431.

The spelling of 281406480 in words is "two hundred eighty-one million, four hundred six thousand, four hundred eighty".