480166560 has 72 divisors (see below), whose sum is σ = 1638573300. Its totient is φ = 128044032.

The previous prime is 480166559. The next prime is 480166567. The reversal of 480166560 is 65661084.

480166560 is a `hidden beast` number, since 4 + 80 + 16 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 417630096 + 62536464 = 20436^2 + 7908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (480166567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165285 + ... + 168164.

Almost surely, 2^480166560 is an apocalyptic number.

480166560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480166560 is an abundant number, since it is smaller than the sum of its proper divisors (1158406740).

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

480166560 is a wasteful number, since it uses less digits than its factorization.

480166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333470 (or 333459 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 480166560 is about 21912.7031650593. The cubic root of 480166560 is about 783.0640816987.

The spelling of 480166560 in words is "four hundred eighty million, one hundred sixty-six thousand, five hundred sixty".