461880080 has 20 divisors (see below), whose sum is σ = 1073871372. Its totient is φ = 184752000.

The previous prime is 461880079. The next prime is 461880091. The reversal of 461880080 is 80088164.

It can be written as a sum of positive squares in 2 ways, for example, as 282105616 + 179774464 = 16796^2 + 13408^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 461880080.

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, 2886671 + ... + 2886830.

Almost surely, 2^461880080 is an apocalyptic number.

461880080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461880080 is an abundant number, since it is smaller than the sum of its proper divisors (611991292).

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

461880080 is a wasteful number, since it uses less digits than its factorization.

461880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773514 (or 5773508 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 461880080 is about 21491.3954874969. The cubic root of 461880080 is about 772.9945123613.

The spelling of 461880080 in words is "four hundred sixty-one million, eight hundred eighty thousand, eighty".