480484040 has 16 divisors (see below), whose sum is σ = 1081089180. Its totient is φ = 192193600.

The previous prime is 480484031. The next prime is 480484049. The reversal of 480484040 is 40484084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (480484031) and next prime (480484049).

It can be written as a sum of positive squares in 2 ways, for example, as 452753284 + 27730756 = 21278^2 + 5266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 480483988 and 480484006.

It is not an unprimeable number, because it can be changed into a prime (480484049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6006011 + ... + 6006090.

Almost surely, 2^480484040 is an apocalyptic number.

480484040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480484040 is an abundant number, since it is smaller than the sum of its proper divisors (600605140).

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

480484040 is a wasteful number, since it uses less digits than its factorization.

480484040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12012112 (or 12012108 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 480484040 is about 21919.9461678171. The cubic root of 480484040 is about 783.2366276674.

The spelling of 480484040 in words is "four hundred eighty million, four hundred eighty-four thousand, forty".