461165220 has 36 divisors (see below), whose sum is σ = 1398868380. Its totient is φ = 122977344.

The previous prime is 461165209. The next prime is 461165231. The reversal of 461165220 is 22561164.

461165220 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 652 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (461165209) and next prime (461165231).

It can be written as a sum of positive squares in 2 ways, for example, as 110502144 + 350663076 = 10512^2 + 18726^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1280835 + ... + 1281194.

It is an arithmetic number, because the mean of its divisors is an integer number (38857455).

Almost surely, 2^461165220 is an apocalyptic number.

It is an amenable number.

461165220 is an abundant number, since it is smaller than the sum of its proper divisors (937703160).

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

461165220 is a wasteful number, since it uses less digits than its factorization.

461165220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562044 (or 2562039 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 461165220 is about 21474.7577401935. The cubic root of 461165220 is about 772.5955140013.

The spelling of 461165220 in words is "four hundred sixty-one million, one hundred sixty-five thousand, two hundred twenty".