480844480 has 28 divisors (see below), whose sum is σ = 1145011680. Its totient is φ = 192337664.

The previous prime is 480844477. The next prime is 480844543. The reversal of 480844480 is 84448084.

It is a super-3 number, since 3×480844480³ (a number of 27 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 751000 + ... + 751639.

Almost surely, 2^480844480 is an apocalyptic number.

480844480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480844480 is an abundant number, since it is smaller than the sum of its proper divisors (664167200).

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

480844480 is a wasteful number, since it uses less digits than its factorization.

480844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502656 (or 1502646 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 480844480 is about 21928.1663620103. The cubic root of 480844480 is about 783.4324296945.

The spelling of 480844480 in words is "four hundred eighty million, eight hundred forty-four thousand, four hundred eighty".