461180280 has 64 divisors (see below), whose sum is σ = 1509321600. Its totient is φ = 111800960.

The previous prime is 461180263. The next prime is 461180299. The reversal of 461180280 is 82081164.

461180280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173370 + ... + 176009.

It is an arithmetic number, because the mean of its divisors is an integer number (23583150).

Almost surely, 2^461180280 is an apocalyptic number.

461180280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461180280 is an abundant number, since it is smaller than the sum of its proper divisors (1048141320).

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

461180280 is a wasteful number, since it uses less digits than its factorization.

461180280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349404 (or 349400 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 461180280 is about 21475.1083815659. The cubic root of 461180280 is about 772.6039239748.

The spelling of 461180280 in words is "four hundred sixty-one million, one hundred eighty thousand, two hundred eighty".