461510220 has 96 divisors (see below), whose sum is σ = 1394221248. Its totient is φ = 113631232.

The previous prime is 461510219. The next prime is 461510233. The reversal of 461510220 is 22015164.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49792 + ... + 58328.

It is an arithmetic number, because the mean of its divisors is an integer number (14523138).

Almost surely, 2^461510220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461510220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697110624).

461510220 is an abundant number, since it is smaller than the sum of its proper divisors (932711028).

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

461510220 is a wasteful number, since it uses less digits than its factorization.

461510220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8619 (or 8617 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 461510220 is about 21482.7889250907. The cubic root of 461510220 is about 772.7881268296.

Adding to 461510220 its reverse (22015164), we get a palindrome (483525384).

The spelling of 461510220 in words is "four hundred sixty-one million, five hundred ten thousand, two hundred twenty".