461317120 has 88 divisors (see below), whose sum is σ = 1207369728. Its totient is φ = 167731200.

The previous prime is 461317111. The next prime is 461317127. The reversal of 461317120 is 21713164.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (461317127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52225 + ... + 60415.

Almost surely, 2^461317120 is an apocalyptic number.

461317120 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 461317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603684864).

461317120 is an abundant number, since it is smaller than the sum of its proper divisors (746052608).

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

461317120 is a wasteful number, since it uses less digits than its factorization.

461317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 461317120 is about 21478.2941594532. The cubic root of 461317120 is about 772.6803313081.

The spelling of 461317120 in words is "four hundred sixty-one million, three hundred seventeen thousand, one hundred twenty".