461818368 has 160 divisors (see below), whose sum is σ = 1491779520. Its totient is φ = 139898880.

The previous prime is 461818363. The next prime is 461818411. The reversal of 461818368 is 863818164.

It is a happy number.

461818368 is a `hidden beast` number, since 461 + 8 + 183 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (461818363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150546 + ... + 153582.

It is an arithmetic number, because the mean of its divisors is an integer number (9323622).

Almost surely, 2^461818368 is an apocalyptic number.

461818368 is a gapful number since it is divisible by the number (48) 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 461818368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745889760).

461818368 is an abundant number, since it is smaller than the sum of its proper divisors (1029961152).

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

461818368 is a wasteful number, since it uses less digits than its factorization.

461818368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3053 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 461818368 is about 21489.9597021493. The cubic root of 461818368 is about 772.9600841160.

The spelling of 461818368 in words is "four hundred sixty-one million, eight hundred eighteen thousand, three hundred sixty-eight".