461309760 has 168 divisors, whose sum is σ = 1638214656. Its totient is φ = 119024640.

The previous prime is 461309753. The next prime is 461309777. The reversal of 461309760 is 67903164.

461309760 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86697 + ... + 91863.

Almost surely, 2^461309760 is an apocalyptic number.

461309760 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 461309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819107328).

461309760 is an abundant number, since it is smaller than the sum of its proper divisors (1176904896).

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

461309760 is a wasteful number, since it uses less digits than its factorization.

461309760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 461309760 is about 21478.1228230029. The cubic root of 461309760 is about 772.6762220903.

The spelling of 461309760 in words is "four hundred sixty-one million, three hundred nine thousand, seven hundred sixty".