480720040 has 16 divisors (see below), whose sum is σ = 1081620180. Its totient is φ = 192288000.

The previous prime is 480720013. The next prime is 480720103. The reversal of 480720040 is 40027084.

It can be written as a sum of positive squares in 2 ways, for example, as 419348484 + 61371556 = 20478^2 + 7834^2 .

It is a super-3 number, since 3×480720040³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480719987 and 480720014.

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, 6008961 + ... + 6009040.

Almost surely, 2^480720040 is an apocalyptic number.

480720040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480720040 is an abundant number, since it is smaller than the sum of its proper divisors (600900140).

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

480720040 is a wasteful number, since it uses less digits than its factorization.

480720040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12018012 (or 12018008 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 480720040 is about 21925.3287318571. The cubic root of 480720040 is about 783.3648411450.

The spelling of 480720040 in words is "four hundred eighty million, seven hundred twenty thousand, forty".