480881284440 has 32 divisors (see below), whose sum is σ = 1442643853680. Its totient is φ = 128235009152.

The previous prime is 480881284421. The next prime is 480881284447. The reversal of 480881284440 is 44482188084.

It is a super-3 number, since 3×480881284440³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480881284447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2003671899 + ... + 2003672138.

Almost surely, 2^480881284440 is an apocalyptic number.

480881284440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480881284440 is an abundant number, since it is smaller than the sum of its proper divisors (961762569240).

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

480881284440 is a wasteful number, since it uses less digits than its factorization.

480881284440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007344051 (or 4007344047 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 51.

It can be divided in two parts, 48088 and 1284440, that added together give a triangular number (1332528 = T₁₆₃₂).

The spelling of 480881284440 in words is "four hundred eighty billion, eight hundred eighty-one million, two hundred eighty-four thousand, four hundred forty".