461808360 has 192 divisors, whose sum is σ = 1634003280. Its totient is φ = 112435200.

The previous prime is 461808343. The next prime is 461808371. The reversal of 461808360 is 63808164.

It is a happy number.

461808360 is a `hidden beast` number, since 4 + 618 + 0 + 8 + 36 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 357890724 + 103917636 = 18918^2 + 10194^2 .

It is a super-2 number, since 2×461808360² = 426533922731779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472192 + ... + 473168.

Almost surely, 2^461808360 is an apocalyptic number.

461808360 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 461808360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817001640).

461808360 is an abundant number, since it is smaller than the sum of its proper divisors (1172194920).

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

461808360 is a wasteful number, since it uses less digits than its factorization.

461808360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 461808360 is about 21489.7268479616. The cubic root of 461808360 is about 772.9545005064.

The spelling of 461808360 in words is "four hundred sixty-one million, eight hundred eight thousand, three hundred sixty".