480640560 has 40 divisors (see below), whose sum is σ = 1489986480. Its totient is φ = 128170752.

The previous prime is 480640553. The next prime is 480640607. The reversal of 480640560 is 65046084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×480640560³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001095 + ... + 1001574.

It is an arithmetic number, because the mean of its divisors is an integer number (37249662).

Almost surely, 2^480640560 is an apocalyptic number.

480640560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480640560 is an abundant number, since it is smaller than the sum of its proper divisors (1009345920).

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

480640560 is a wasteful number, since it uses less digits than its factorization.

480640560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002685 (or 2002679 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 480640560 is about 21923.5161413492. The cubic root of 480640560 is about 783.3216661408.

The spelling of 480640560 in words is "four hundred eighty million, six hundred forty thousand, five hundred sixty".