461305720 has 64 divisors (see below), whose sum is σ = 1078197120. Its totient is φ = 177496704.

The previous prime is 461305717. The next prime is 461305723. The reversal of 461305720 is 27503164.

It is an interprime number because it is at equal distance from previous prime (461305717) and next prime (461305723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461305723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113239 + ... + 117241.

It is an arithmetic number, because the mean of its divisors is an integer number (16846830).

Almost surely, 2^461305720 is an apocalyptic number.

461305720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461305720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539098560).

461305720 is an abundant number, since it is smaller than the sum of its proper divisors (616891400).

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

461305720 is a wasteful number, since it uses less digits than its factorization.

461305720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 461305720 is about 21478.0287736096. The cubic root of 461305720 is about 772.6739664685.

Adding to 461305720 its reverse (27503164), we get a palindrome (488808884).

The spelling of 461305720 in words is "four hundred sixty-one million, three hundred five thousand, seven hundred twenty".